Approximation by trigonometric polynomials in variable exponent Morrey spaces

We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space Mp ( · ) , λ ( · ) with variable exponents. For this space, we obtain estimates of the K-functional in terms of the modulus of smoothness and the Bernstein type inequality for trigonometric polynomials. © 2018, Springer International Publishing AG, part of Springer Nature.

Authors
Guliyev V.S. 1, 2 , Ghorbanalizadeh A.3 , Sawano Y. 1, 4
Journal
Analysis and Mathematical Physics
Publisher
Springer Basel
Number of issue
3
Language
English
Pages
1265-1285
Status
Published
Link
External link
DOI
10.1007/s13324-018-0231-y
Volume
9
Year
2019
Organizations
  • 1 S.M. Nikol’skii Institute of Mathematics at RUDN University, Moscow, Russian Federation
  • 2 Institute of Mathematics and Mechanics, Baku, Azerbaijan
  • 3 Department of Mathematics, Institute for Advanced studies in Basic Sciences (IASBS), Zanjan, Iran
  • 4 Department of Mathematics and Information Science, Tokyo Metropolitan University, Tokyo, Japan
Keywords
Bernstein inequality; Steklov operator; Trigonometric polynomial; Variable exponent Morrey spaces
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55073/
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