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Zhensykbaev, Alexander Alipkanovich
Professor
Doctor of physico-mathematical sciences (1980)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 21.08.1947
E-mail:
Keywords: approximation theory, recovery of operators, splines, quadrature and cubature formulae, chebyshev systems.
   
Main publications:
  • The fundamental theorem of algebra for monosplines with multiple nodes // J. Approximation Theory, 56, ¹ 2, 1989, 121–133.
  • Recovery of operators on classes multivariate functions // East J. on Approximations. v. 1, ¹ 2, 1995, p. 197–220.
  • Linear recovery methods of operators // Anal. Math., v. 23, ¹ 2, 1997, 149–157.

https://www.mathnet.ru/eng/person17459
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189540

Publications in Math-Net.Ru Citations
1996
1. A. A. Zhensykbaev, “Reconstruction of operators in the classes of functions with restrictions in integral norms”, Dokl. Akad. Nauk, 351:6 (1996),  735–737  mathnet  mathscinet  zmath
1995
2. A. A. Zhensykbaev, “Nonlinear interpolation and norm minimization”, Mat. Zametki, 58:4 (1995),  512–524  mathnet  mathscinet  zmath; Math. Notes, 58:4 (1995), 1033–1041  isi
1993
3. A. A. Zhensykbaev, “Information-nuclear splines in recovery problems”, Dokl. Akad. Nauk, 328:3 (1993),  285–288  mathnet  mathscinet  zmath; Dokl. Math., 47:1 (1993), 62–67 1
4. A. A. Zhensykbaev, “Spline approximation and optimal recovery of operators”, Mat. Sb., 184:12 (1993),  3–22  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 80:2 (1995), 393–409  isi 4
1983
5. A. A. Zhensykbaev, “Monosplines of minimal $L_1$-norm”, Mat. Zametki, 33:6 (1983),  863–879  mathnet  mathscinet  zmath; Math. Notes, 33:6 (1983), 443–452  isi
1982
6. A. A. Zhensykbaev, “Extremality of monosplines of minimal deficiency”, Izv. Akad. Nauk SSSR Ser. Mat., 46:6 (1982),  1175–1198  mathnet  mathscinet  zmath; Math. USSR-Izv., 21:3 (1983), 461–482 2
7. A. A. Zhensykbaev, “Extremal properties of monosplines and best quadrature formulas”, Mat. Zametki, 31:2 (1982),  281–298  mathnet  mathscinet  zmath; Math. Notes, 31:2 (1982), 145–154  isi 2
1981
8. A. A. Zhensykbaev, “Monosplines of minimal norm and the best quadrature formulae”, Uspekhi Mat. Nauk, 36:4(220) (1981),  107–159  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:4 (1981), 121–180  isi 36
1979
9. A. A. Zhensykbaev, “Monosplines deviating least from zero and best quadrature formulas”, Dokl. Akad. Nauk SSSR, 249:2 (1979),  278–281  mathnet  mathscinet  zmath 4
10. A. A. Zhensykbaev, “Spline interpolation and best approximation by trigonometric polynomials”, Mat. Zametki, 26:3 (1979),  355–366  mathnet  mathscinet  zmath; Math. Notes, 26:3 (1979), 670–676  isi 1
11. A. A. Zhensykbaev, “Characteristic properties of best quadrature formulas”, Sibirsk. Mat. Zh., 20:1 (1979),  49–68  mathnet  mathscinet  zmath; Siberian Math. J., 20:1 (1979), 34–49  isi 7
1978
12. A. A. Zhensykbaev, “One property of best quadrature formulas”, Mat. Zametki, 23:4 (1978),  551–562  mathnet  mathscinet  zmath; Math. Notes, 23:4 (1978), 301–307 2
1977
13. A. A. Zhensykbaev, “Best quadrature formulas for some classes of nonperiodic functions”, Dokl. Akad. Nauk SSSR, 236:3 (1977),  531–534  mathnet  mathscinet  zmath 2
14. A. A. Zhensykbaev, “Best quadrature formula for some classes of periodic differentiable functions”, Izv. Akad. Nauk SSSR Ser. Mat., 41:5 (1977),  1110–1124  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:5 (1977), 1055–1071 16
1976
15. A. A. Zhensykbaev, “On the best quadrature formula on the class $W^rL_p$”, Dokl. Akad. Nauk SSSR, 227:2 (1976),  277–279  mathnet  mathscinet  zmath 6
1974
16. A. A. Zhensykbaev, “Approximation of certain classes of differentiable periodic functions by interpolational splines in a uniform decomposition”, Mat. Zametki, 15:6 (1974),  955–966  mathnet  mathscinet  zmath; Math. Notes, 15:6 (1974), 569–575 2
1973
17. A. A. Zhensykbaev, “The approximation of periodic differentiable functions by splines with respect to a uniform partition”, Mat. Zametki, 13:6 (1973),  807–816  mathnet  mathscinet  zmath; Math. Notes, 13:6 (1973), 483–489 3
18. A. A. Zhensykbaev, “Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines”, Mat. Zametki, 13:2 (1973),  217–228  mathnet  mathscinet  zmath; Math. Notes, 13:2 (1973), 130–136 9
1981
19. V. L. Velikin, A. A. Zhensykbaev, V. P. Motornyi, S. M. Nikol'skii, V. I. Ruban, “Nikolai Pavlovich Korneichuk (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 36:2(218) (1981),  209–213  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:2 (1981), 199–204  isi 1

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