LACK OF INTERPOLATION OF LINEAR OPERATORS IN SPACES OF SMOOTH FUNCTIONS

DOI10.1070/IM1977V011N06ABEH001767zbMath0395.46030OpenAlexW2031277351MaRDI QIDQ4178078

Boris S. Mityagin, Evgeny M. Semenov

Publication date: 1977

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1977v011n06abeh001767

zbMATH Keywords

Lack of Interolation of Linear OperatorsSpaces of Smooth Functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (9)

\(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces ⋮ Improvement of some inequalities of Chebysev-Grüss type ⋮ Mixed K-functionals: A measure of smoothness for blending-type approximation ⋮ A quantitative voronovskaya formula for Mellin convolution operators ⋮ A quantitative asymptotic formula for a general class of discrete operators ⋮ The complete asymptotic expansion for Bernstein operators ⋮ Grüss-type and Ostrowski-type inequalities in approximation theory ⋮ Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence ⋮ On approximation in spaces of continuous functions

This page was built for publication: LACK OF INTERPOLATION OF LINEAR OPERATORS IN SPACES OF SMOOTH FUNCTIONS