A note on K-functional, Modulus of smoothness, Jackson theorem and Bernstein–Nikolskii–Stechkin inequality on Damek

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A note on K-functional, Modulus of smoothness, Jackson theorem and Bernstein–Nikolskii–Stechkin inequality on Damek–Ricci spaces

Published:2021-04 Issue: Volume:264 Page:105537
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Kumar Vishvesh,Ruzhansky Michael

Funder

Leverhulme Trust

Engineering and Physical Sciences Research Council

Fonds Wetenschappelijk Onderzoek

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference43 articles.

1. Spherical analysis on harmonic AN groups;Anker;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),1996

2. The helgason fourier transform on a class of nonsymmetric harmonic spaces;Astengo;Bull. Aust. Math. Soc.,1997

3. Equivalence of K-functionals and modulus of smoothness constructed by generalized Dunkl translations;Belkina;Izv. Vyssh. Uchebn. Zaved. Mat.,2008

4. Semigroups of operators and approximation;Berens,1967

5. Growth properties of fourier transforms via moduli of continuity;Bray;J. Funct. Anal.,2008

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis in Function Spaces Associated with the Group $$ax+b$$;Results in Mathematics;2024-07-30

2. Bernstein-nikolskii-stechkin inequality and Jackson’s theorem for the index Whittaker transform;ANNALI DELL'UNIVERSITA' DI FERRARA;2023-11-29

3. Jackson-type theorem in the weak $L_{1}$-space;Turkish Journal of Mathematics;2023-01-01

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