Orthogonal polynomials, spacies of function, approximation theory.
Main publications:
1. O nailuchshem priblizhenii i summakh Fure–Yakobi // Matem. zametki. 1983. T. 34. Vyp. 5.
S. 651–661.
2. Sharapudinov I. I. On the Hahn polynomials application for the optimal tabulation of functions: in "Constructive theory
of functions" // Proc. of the Int. conf. on const. theory of functions. Varna. May 27–June 2. 1984. P. 782–787.
3. Asimptotic Formula Having no Remainder
Term for the Orthogonal Hahn Polynomials of Discrete Variable //
Mathematica Bolkanica. New Seris. 1988. V. 2. Fasc 4. P. 314–318.
4. On the best approximation and polynomials
of the least quadratic deviation // Analysis Mathematica. 1983.
V. 9. P. 223–234.
5. On the approximation of discrete functions
by Fourier–Hahn sums // Analysis Mathematica. 1991. V. 17. P. 35–46.
6. Asymptotics of Meixners polynomials // FACTA UNIVERSITATIS (NI$\check S$), Ser. Math. Inform. 6(1991). P. 13–21.
7. Asimptoticheskie svoistva polinomov
Kravchuka // Matem. zametki. 1988. T. 44. Vyp. 2. S. 682–693.
8. O primenenii mnogochlenov Meiksnera k priblizhennomu vychisleniyu integralov // Izv. vuzov. Matematika. 1986. Vyp. 2. S. 80–82.
9. Asimptoticheskie svoistva i vesovye otsenki mnogochlenov Khana
//Izv. vuzov. Matematika. 1985. Vyp. 5. S. 78–80.
10. Nekotorye svoistva mnogochlenov, ortogonalnykh na konechnoi sisteme
tochek // Izv. vuzov. Matematika. 1983. Vyp. 5. S. 85–88.
11. Funktsiya Lebega chastnykh summ Fure po polinomam Khana // Funktsionalnyi analiz, teoriya funktsii i ikh prilozheniya. Makhachkala.
Izd-vo Dag. gos. un-ta. 1982. S. 132–144.
12. Priblizhenie funktsii summami Fure po ortogonalnym mnogochlenam Chebysheva diskretnogo peremennogo. M.: Dep. v VINITI. Vyp. 3137-80. 1980. C. 1–44.
13. O topologii prostranstva
$L^{p(x)}([0,1])$ // Matem. zametki. 1979. T. 26. Vyp. 4. S. 613–632.
14. Priblizhenie funktsii v metrike prostranstva
$L^{p(x)}([a,b])$ i kvadraturnye formuly // Constructive function theory81. Proceedings of the International Conference on Constructive Function Theory. Varna, June 1–5, 1981. S. 189–193.
15. O bazisnosti sistemy Khaara v prostranstve $L^{p(x)}([0,1])$ i printsipe lokalizatsii v srednem // Matem. sbornik. 1986. 130(172), No. 2(6). S. 275–283.
16. O ravnomernoi ogranichennosti v $L^p$ $(p=p(x))$ nekotorykh semeistv operatorov svertki // Matem. zametki. 1996. T. 59. Vyp. 2. S. 291–302.
17. Nekotorye voprosy teorii priblizheniya v prostranstvakh $L^p(x)$ // Analysis Mathematica. 2007, t. 33, # 2, s. 135–153.
18. Asimptoticheskie svoistva polinomov Kravchuka // Matem. zametki. 1988. T. 44. Vyp. 2. S. 682–693.
19. Asimptoticheskie svoistva ortogonalnykh mnogochlenov Khana diskretnoi peremennoi // Matem. sbornik. 1989. T. 180. Vyp. 9. S. 1259–1277.
20. Nekotorye svoistva ortogonalnykh mnogochlenov Meiksnera // Matem. zametki. 1990. T. 47. Vyp. 3. S. 135–137.
21. Approksimativnye svoistva diskretnykh summ Fure // Diskretnaya matematika. 1990. T. 2 Vyp. 2. S. 33--44.
22. K asimptoticheskomu povedeniyu ortogonalnykh mnogochlenov Chebysheva diskretnoi peremennoi // Matem. zametki. 1990. T. 48. Vyp. 6. S. 150–152.
23. Asimptoticheskie svoistva i vesovye otsenki mnogochlenov Chebysheva–Khana // Matem. sbornik. 1991. T. 183. Vyp. 3. S. 408–420.
25. Ob asimptotike mnogochlenov Chebysheva, ortogonalnykh na konechnoi sisteme tochek // Vestnik MGU. Seriya 1. 1992. Vyp. 1. S. 29–35.
26. O skhodimosti metoda naimenshikh kvadratov // Matem. zametki. 1993. T. 53. Vyp. 3. S. 131–143.
27. Ob ogranichennosti v $C[-1,1]$ srednikh Valle-Pussena dlya diskretnykh summ Fure–Chebysheva // Matem. sbornik. 1996. T. 187. Vyp. 1. C. 143–160.
28. Ob asimptotike i vesovykh otsenkakh polinomov Meiksnera // Matem. zametki. 1997. T. 62. Vyp. 4. S. 603–616.
29. Ob otsenivanii $L_p$-normy algebraicheskogo polinoma po ego znacheniyam v uzlakh ravnomernoi setki // Matem. sbornik. 1997. T. 188, No. 12. S. 135–156.
30. Ob odnom novom primenenii mnogochlenov Chebysheva, ortogonalnykh na ravnomernoi setke // Matem. zametki. 1998. T. 64. Vyp. 6.
31. Mnogochleny, ortogonalnye na setkakh // Vestnik Dagest. Gos. Ped. Un-ta. 1999. No. 1. S. 57–66.
32. Priblizhenie diskretnykh funktsii i mnogochleny Chebysheva, ortogonalnye na ravnomernoi setke // Matem.zametki. 2000. T. 67. Vyp. 3. S. 460–470.
33. Priblizhenie funktsii s peremennoi gladkostyu summami Fure–Lezhandra // Matem. sb. 191:1 (2000), 143–160.
34. Smeshannye ryady po ultrasfericheskim polinomam i ikh approksimativnye svoistva // Matem. sb. 194:3 (2003), 115–148.
36. Smeshannye ryady po ultrasfericheskim polinomam i ikh approksimativnye svoistva // Matem. sb. 194:3 (2003), 115–148.
37. Smeshannye ryady po polinomam Chebysheva, ortogonalnym na ravnomernoi setke // Matem. zametki. 78:3 (2005), 442–465.
38. Approksimativnye svoistva smeshannykh ryadov po polinomam Lezhandra na klassakh $W^r$ // Matem. sb. 197:3 (2006), 135–154.
39. Boundedness in $C\{-1,1\}$ of the de la Vallee-Poussin means for discrete Chebyshev–Fourier sums // Sbornik: Mathematics. 1997. 187:1,
141–158.
40. Estimating the $L_p$-norm of an algebraic polynomial in terms of its values at the nodes of a uniform grid // Sbornik: Mathematics. 1997. 188:12, 1861–1884.
41. Asymptotics and Weighted Estimates of Miexner Polynomials orthogonal on
the grid $\{0,\delta,\dots\}$ // Mathematical notes. 62:4, 1997,
501–512.
42. Approximation of discrete functins and Chebyshev Polynomials Orthogonal
on the Uniform Grid // Mathematical Notes. 67:3, 2000.
43. Approximation of functions of variable smoothness by Fourier–Legendre
sums // Sbornik: Mathematics. 2000. 191:5, 759–777.
44. Mixed series in ultraspherical polynomials and their approximation properties // Sbornik: Mathematics 194:3, 423–456.
45. Approximation Properties of the Operators $\cal Y_{n+2r}(f)$ and of
Their Discrete Analogs // Mathematical Notes. 72:5, 2002, 705–732.
46. Mnogochleny, ortogonalnye na diskretnykh setkakh. Makhachkala.
Izd-vo Dag. gos. ped. un-ta, 1997.
1–252.
I. I. Sharapudinov, “Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs”, Izv. RAN. Ser. Mat., 83:2 (2019), 204–226; Izv. Math., 83:2 (2019), 391–412
2.
I. I. Sharapudinov, “The Basis Property of Ultraspherical Jacobi Polynomials in a Weighted Lebesgue Space with Variable Exponent”, Mat. Zametki, 106:4 (2019), 595–621; Math. Notes, 106:4 (2019), 616–638
3.
I. I. Sharapudinov, “Sobolev-orthogonal systems of functions and some of their applications”, Uspekhi Mat. Nauk, 74:4(448) (2019), 87–164; Russian Math. Surveys, 74:4 (2019), 659–733
4.
I. I. Sharapudinov, T. I. Sharapudinov, M. G. Magomed-Kasumov, “Approximation properties of repeated de la Vallée-Poussin means for piecewise smooth functions”, Sibirsk. Mat. Zh., 60:3 (2019), 695–713; Siberian Math. J., 60:3 (2019), 542–558
2018
5.
I. I. Sharapudinov, “Sobolev-orthogonal systems of functions associated with an orthogonal system”, Izv. RAN. Ser. Mat., 82:1 (2018), 225–258; Izv. Math., 82:1 (2018), 212–244
6.
I. I. Sharapudinov, I. G. Guseinov, “Polynomials orthogonal with respect to Sobolev type inner product generated by Charlier polynomials”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 18:2 (2018), 196–205
7.
I. I. Sharapudinov, M. G. Magomed-Kasumov, “On Vallée-Poissin means for special series with respect to ultraspherical Jacobi polynomials with sticking partial sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, 9, 68–80; Russian Math. (Iz. VUZ), 62:9 (2018), 60–71
8.
I. I. Sharapudinov, “Sobolev orthogonal polynomials generated by Jacobi and Legendre polynomials, and special series with the sticking property for their partial sums”, Mat. Sb., 209:9 (2018), 142–170; Sb. Math., 209:9 (2018), 1390–1417
2017
9.
I. I. Sharapudinov, “Overlapping transformations for approximation of continuous functions by means of repeated mean Valle Poussin”, Daghestan Electronic Mathematical Reports, 2017, 8, 70–92
10.
I. I. Sharapudinov, M. G. Magomed-Kasumov, “A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system”, Daghestan Electronic Mathematical Reports, 2017, 8, 53–60
11.
I. I. Sharapudinov, T. N. Shakh-Emirov, “Convergence of Fourier series in Jacobi polynomials in weighted Lebesgue space with variable exponent”, Daghestan Electronic Mathematical Reports, 2017, 8, 27–47
12.
I. I. Sharapudinov, “The inversion of the Laplace transform by means of generalized special series of Laguerre polynomials”, Daghestan Electronic Mathematical Reports, 2017, 8, 7–20
13.
I. I. Sharapudinov, “Approximation of the solution of the Cauchy problem for nonlinear ODE systems by means of Fourier series in functions orthogonal in the sense of Sobolev”, Daghestan Electronic Mathematical Reports, 2017, 7, 66–76
14.
I. I. Sharapudinov, Z. D. Gadzhieva, R. M. Gadzhimirzaev, “Sobolev orthogonal functions on the grid, generated by discrete orthogonal functions and the Cauchy problem for the difference equation”, Daghestan Electronic Mathematical Reports, 2017, 7, 29–39
15.
I. I. Sharapudinov, S. R. Magomedov, “Systems of functions orthogonal in the sense of Sobolev associated with Haar functions and the Cauchy problem for ODEs”, Daghestan Electronic Mathematical Reports, 2017, 7, 1–15
16.
I. I. Sharapudinov, T. I. Sharapudinov, “Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogornal on a mesh”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 8, 67–79; Russian Math. (Iz. VUZ), 61:8 (2017), 59–70
17.
I. I. Sharapudinov, “Approximation Properties of Fourier Series of Sobolev Orthogonal Polynomials with Jacobi Weight and Discrete Masses”, Mat. Zametki, 101:4 (2017), 611–629; Math. Notes, 101:4 (2017), 718–734
18.
I. I. Sharapudinov, “Special series in Laguerre polynomials and their approximation properties”, Sibirsk. Mat. Zh., 58:2 (2017), 440–467; Siberian Math. J., 58:2 (2017), 338–362
19.
I. I. Sharapudinov, Z. D. Gadzhieva, R. M. Gadzhimirzaev, “Difference equations and Sobolev orthogonal polynomials, generated by Meixner polynomials”, Vladikavkaz. Mat. Zh., 19:2 (2017), 58–72
2016
20.
I. I. Sharapudinov, Z. D. Gadzhieva, R. M. Gadzhimirzaev, “Systems of functions orthogonal with respect to scalar products of Sobolev type with discrete masses generated by classical orthogonal systems”, Daghestan Electronic Mathematical Reports, 2016, 6, 31–60
21.
I. I. Sharapudinov, “Asymptotic properties of polynomials, orthogonal in Sobolev sence and associated with the Jacobi polynomials”, Daghestan Electronic Mathematical Reports, 2016, 6, 1–24
22.
I. I. Sharapudinov, T. I. Sharapudinov, “Polynomials, orthogonal on Sobolev, derived by the Chebyshev polynomials, orthogonal on the uniform net”, Daghestan Electronic Mathematical Reports, 2016, 5, 56–75
23.
I. I. Sharapudinov, Z. D. Gadzhieva, “Sobolev orthogonal polynomials generated by Meixner polynomials”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:3 (2016), 310–321
24.
I. I. Sharapudinov, “Approximation of functions in variable-exponent Lebesgue and Sobolev spaces by de la Vallée-Poussin means”, Mat. Sb., 207:7 (2016), 131–158; Sb. Math., 207:7 (2016), 1010–1036
25.
A. Y. Umakhanov, I. I. Sharapudinov, “Interpolation of functions by the Whittaker sums and their modifications: conditions for uniform convergence”, Vladikavkaz. Mat. Zh., 18:4 (2016), 61–70
2015
26.
I. I. Sharapudinov, T. I. Sharapudinov, “On the simultaneous approximation of functions and their derivatives by Chebyshev polynomials orthogonal on uniform grid”, Daghestan Electronic Mathematical Reports, 2015, 4, 74–117
27.
I. I. Sharapudinov, “Some special series by general Laguerre polynomials and Fourier series by Laguerre polynomials, orthogonal in Sobolev sense”, Daghestan Electronic Mathematical Reports, 2015, 4, 31–73
28.
I. I. Sharapudinov, M. G. Magomed-Kasumov, S. R. Magomedov, “Sobolev orthogonal polynomials, associated with the Chebyshev polynomials of the first kind”, Daghestan Electronic Mathematical Reports, 2015, 4, 1–14
29.
I. I. Sharapudinov, “Mixed series by classical orthogonal polynomials”, Daghestan Electronic Mathematical Reports, 2015, 3, 1–254
30.
I. I. Sharapudinov, “Approximation properties of Fejér- and de la Valleé-Poussin-type means for partial sums of a special series in the system $\{\sin x\sin kx\}_{k=1}^\infty$”, Mat. Sb., 206:4 (2015), 131–148; Sb. Math., 206:4 (2015), 600–617
2014
31.
I. I. Sharapudinov, M. S. Sultanakhmedov, T. N. Shakh-Emirov, T. I. Sharapudinov, M. G. Magomed-Kasumov, G. G. Akniev, R. M. Gadzhimirzaev, “On the identification of the parameters of linear systems using Chebyshev polynomials of the first kind and Chebyshev polynomials orthogonal on a uniform grid”, Daghestan Electronic Mathematical Reports, 2014, 2, 1–32
32.
I. I. Sharapudinov, “Polynomials, orthogonal on grids from unit circle and number axis”, Daghestan Electronic Mathematical Reports, 2014, 1, 1–55
33.
I. I. Sharapudinov, “Some special series in ultraspherical polynomials and their approximation properties”, Izv. RAN. Ser. Mat., 78:5 (2014), 201–224; Izv. Math., 78:5 (2014), 1036–1059
34.
I. I. Sharapudinov, G. G. Akniev, “Discrete Transform with Stick Property Based on $\{\sin x\sin kx\}$ and Second Kind Chebyshev Polynomials Systems”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:4(1) (2014), 413–422
35.
I. I. Sharapudinov, “Some Special Two-dimensional Series of $\{\sin x\sin kx\}$ System and Their Approximation Properties”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:4(1) (2014), 407–412
36.
I. I. Sharapudinov, “Approximation of functions in variable-exponent Lebesgue and Sobolev spaces by finite Fourier-Haar series”, Mat. Sb., 205:2 (2014), 145–160; Sb. Math., 205:2 (2014), 291–306
2013
37.
I. I. Sharapudinov, “Approximation of functions in $L^{p(x)}_{2\pi}$ by trigonometric polynomials”, Izv. RAN. Ser. Mat., 77:2 (2013), 197–224; Izv. Math., 77:2 (2013), 407–434
38.
I. I. Sharapudinov, “Approximation of Smooth Functions in $L^{p(x)}_{2\pi}$ by Vallee-Poussin Means”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 13:1(1) (2013), 45–49
39.
I. I. Sharapudinov, “Limit Ultraspherical Series and Their Approximation Properties”, Mat. Zametki, 94:2 (2013), 295–309; Math. Notes, 94:2 (2013), 281–293
2010
40.
I. I. Sharapudinov, T. I. Sharapudinov, “Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization”, Mat. Zametki, 88:1 (2010), 116–147; Math. Notes, 88:1 (2010), 112–139
41.
I. I. Sharapudinov, “Approximating smooth functions using algebraic-trigonometric polynomials”, Mat. Sb., 201:11 (2010), 137–160; Sb. Math., 201:11 (2010), 1689–1713
2009
42.
I. I. Sharapudinov, G. N. Muratova, “Same properties $r$-fold integration series on Fourier–Haar system”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 9:1 (2009), 68–76
43.
I. I. Sharapudinov, “The basis property of the Legendre polynomials in the variable
exponent Lebesgue space $L^{p(x)}(-1,1)$”, Mat. Sb., 200:1 (2009), 137–160; Sb. Math., 200:1 (2009), 133–156
2008
44.
I. I. Sharapudinov, “Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials”, Mat. Zametki, 84:3 (2008), 452–471; Math. Notes, 84:3 (2008), 417–434
2006
45.
I. I. Sharapudinov, “Approximation properties of mixed series in terms of Legendre polynomials on the classes $W^r$”, Mat. Sb., 197:3 (2006), 135–154; Sb. Math., 197:3 (2006), 433–452
2005
46.
I. I. Sharapudinov, “Mixed Series of Chebyshev Polynomials Orthogonal on a Uniform Grid”, Mat. Zametki, 78:3 (2005), 442–465; Math. Notes, 78:3 (2005), 403–423
2003
47.
I. I. Sharapudinov, “Mixed series in ultraspherical polynomials and
their approximation properties”, Mat. Sb., 194:3 (2003), 115–148; Sb. Math., 194:3 (2003), 423–456
2002
48.
I. I. Sharapudinov, “Approximation Properties of the Operators $\mathscr Y_{n+2r}(f)$ and of Their Discrete Analogs”, Mat. Zametki, 72:5 (2002), 765–795; Math. Notes, 72:5 (2002), 705–732
2000
49.
I. I. Sharapudinov, “Approximation of discrete functions, and Chebyshev polynomials orthogonal on a uniform grid”, Mat. Zametki, 67:3 (2000), 460–470; Math. Notes, 67:3 (2000), 389–397
50.
I. I. Sharapudinov, “Approximation of functions of variable smoothness by Fourier–Legendre sums”, Mat. Sb., 191:5 (2000), 143–160; Sb. Math., 191:5 (2000), 759–777
1998
51.
I. I. Sharapudinov, “On a new application of Chebyshev polynomials orthogonal on a uniform grid”, Mat. Zametki, 64:6 (1998), 950–953; Math. Notes, 64:6 (1998), 821–825
1997
52.
I. I. Sharapudinov, “Asymptotics and weighted estimates of Meixner polynomials orthogonal on the grid $\{0,\delta,2\delta,…\}$”, Mat. Zametki, 62:4 (1997), 603–616; Math. Notes, 62:4 (1997), 501–512
53.
I. I. Sharapudinov, “Estimating the $L_p$-norm of an algebraic polynomial in terms of its values at the nodes of a uniform grid”, Mat. Sb., 188:12 (1997), 135–156; Sb. Math., 188:12 (1997), 1861–1884
1996
54.
I. I. Sharapudinov, I. A. Vagabov, “Convergence of the Vallée–Poussin means for Fourier–Jacobi sums”, Mat. Zametki, 60:4 (1996), 569–586; Math. Notes, 60:4 (1996), 425–437
55.
I. I. Sharapudinov, “Uniform boundedness in $L^p$$(p=p(x))$ of some families of convolution operators”, Mat. Zametki, 59:2 (1996), 291–302; Math. Notes, 59:2 (1996), 205–212
56.
I. I. Sharapudinov, “Boundedness in $C[-1,1]$ of the de la Vallée-Poussin means for discrete Chebyshev–Fourier sums”, Mat. Sb., 187:1 (1996), 143–160; Sb. Math., 187:1 (1996), 141–158
1993
57.
I. I. Sharapudinov, “On the convergence of the method of least squares”, Mat. Zametki, 53:3 (1993), 131–143; Math. Notes, 53:3 (1993), 335–344
1992
58.
I. I. Sharapudinov, “On the asymptotics of Chebyshev polynomials that are orthogonal on a finite system of points”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, 1, 29–35
1991
59.
I. I. Sharapudinov, “Asymptotic properties and weighted estimates for Chebyshev–Hahn orthogonal polynomials”, Mat. Sb., 182:3 (1991), 408–420; Math. USSR-Sb., 72:2 (1992), 387–401
1990
60.
I. I. Sharapudinov, “Approximation properties of discrete Fourier sums”, Diskr. Mat., 2:2 (1990), 33–44
61.
I. I. Sharapudinov, “On the asymptotic behavior of Chebyshev orthogonal polynomials of a discrete variable”, Mat. Zametki, 48:6 (1990), 150–152
62.
I. I. Sharapudinov, “Some properties of Meixner orthogonal polynomials”, Mat. Zametki, 47:3 (1990), 135–137
1989
63.
I. I. Sharapudinov, “Asymptotic properties of orthogonal Hahn polynomials in a discrete variable”, Mat. Sb., 180:9 (1989), 1259–1277; Math. USSR-Sb., 68:1 (1991), 111–132
1988
64.
I. I. Sharapudinov, “Asymptotic properties of Krawtchouk polynomials”, Mat. Zametki, 44:5 (1988), 682–693; Math. Notes, 44:5 (1988), 855–862
1986
65.
I. I. Sharapudinov, “Application of Meixner polynomials to approximate calculation of integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, 2, 80–82; Soviet Math. (Iz. VUZ), 30:2 (1986), 120–122
66.
I. I. Sharapudinov, “On the basis property of the Haar system in the space $\mathscr L^{p(t)}([0,1])$ and the principle of localization in the mean”, Mat. Sb. (N.S.), 130(172):2(6) (1986), 275–283; Math. USSR-Sb., 58:1 (1987), 279–287
1985
67.
I. I. Sharapudinov, “Asymptotic properties and weight estimates of Hahn polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, 5, 78–80; Soviet Math. (Iz. VUZ), 29:5 (1985), 99–102
1983
68.
I. I. Sharapudinov, “Some properties of polynomials, orthogonal on a finite system of points”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, 5, 85–88
69.
I. I. Sharapudinov, “Best approximation and the Fourier–Jacobi sums”, Mat. Zametki, 34:5 (1983), 651–661; Math. Notes, 34:5 (1983), 816–821
1979
70.
I. I. Sharapudinov, “Topology of the space $\mathscr L^{p(t)}([0,1])$”, Mat. Zametki, 26:4 (1979), 613–632; Math. Notes, 26:4 (1979), 796–806