Inequalities for Trigonometric Polynomials in Periodic Morrey Spaces

Victor Ivanovich Burenkov; Daryl James Joseph

Inequalities for Trigonometric Polynomials in Periodic Morrey Spaces

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Authors

Victor Ivanovich Burenkov
Daryl James Joseph

Keywords:

Morrey spaces, periodic Morrey spaces, Bernstein's inequality, inequalities of different metrics, inequalities of different dimensions

Abstract

A detailed exposition of Bernstein’s inequality, inequalities of different metrics and of different dimensions for trigonometric polynomials in Lebesgue spaces is given in the book of S.M. Nikol’skii. In this paper, we state analogues of these inequalities in periodic Morrey spaces.

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Published

2024-07-15

How to Cite

Burenkov, V. I., & Joseph, D. J. (2024). Inequalities for Trigonometric Polynomials in Periodic Morrey Spaces. Eurasian Mathematical Journal, 15(2), 92–100. Retrieved from https://emj.enu.kz/index.php/main/article/view/340