RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Guidelines for authors License agreement Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Trudy MIAN: Year: Volume: Issue: Page: Find

 2010, Volume 269

 | General information | Contents |

Function theory and differential equations

Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday

 Sergei Mikhailovich Nikol'skii (photo) Preface 7 Wavelet approximation and Fourier widths of classes of periodic functions of several variables. ID. B. Bazarkhanov 8 Spaces of functions of fractional smoothness on an irregular domainO. V. Besov 31 Description of interpolation spaces for local Morrey-type spacesV. I. Burenkov, E. D. Nursultanov 52 On a grid-method solution of the Laplace equation in an infinite rectangular cylinder under periodic boundary conditionsE. A. Volkov 63 Weighted integrability of multiplicative Fourier transformsS. S. Volosivets, B. I. Golubov 71 On higher order elliptic and parabolic inequalities with singularities on the boundaryE. I. Galakhov 82 Optimal embeddings of generalized Bessel and Riesz potentialsM. L. Goldman 91 A Hardy-type inequality and its applicationsYu. A. Dubinskii 112 A terminal–boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel timesV. A. Il'in 133 Sharp estimates for derivatives of functions in the Sobolev classes $\mathring W_2^r(-1,1)$G. A. Kalyabin 143 On the second moduli of continuityS. V. Konyagin 150 On the representation of a function as an absolutely convergent Fourier integralE. R. Liflyand, R. M. Trigub 153 Multiple positive solutions of an elliptic equation with a convex–concave nonlinearity containing a sign-changing termV. F. Lubyshev 167 On the reconstruction of convolution-type operators from inaccurate informationG. G. Magaril-Il'yaev, K. Yu. Osipenko 181 On Riemann “nondifferentiable” function and Schrödinger equationK. I. Oskolkov, M. A. Chakhkiev 193 Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classesM. K. Potapov, B. V. Simonov, S. Yu. Tikhonov 204 Blow-up of sign-changing solutions to quasilinear parabolic equationsS. I. Pohozaev 215 Asymptotic formulas for solutions of nonlocal elliptic problemsA. L. Skubachevskii 225 Sharpening of the estimates for relative widths of classes of differentiable functionsYu. N. Subbotin, S. A. Telyakovskii 242 Greedy approximation of characteristic functionsV. N. Temlyakov 254 Approximation by Bernstein polynomials at the discontinuity points of derivativesV. O. Tonkov 265 Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domainsB. V. Trushin 271 On the basis property of root vectors of a perturbed self-adjoint operatorA. A. Shkalikov 290