Approximation of functions belonging to the weighted L(a, M, omega)-class by trigonometric polynomials

Authors

  • Sadulla Z. Jafarov Mus Alparslan University

DOI:

https://doi.org/10.53733/24

Keywords:

Trigonometric approximation, Orlicz space, weighted Orlicz space, Boyd indices, Muckenhoupt weight, weighted $L(\alpha ,M,\omega )$ class, modulus of continuity

Abstract

In this work the approximation of the functions by means t_{n}(f;x),~N_{n}^{\beta }(f;x) and R_{n}^{\beta }(f,x) of the trigonometric Fourier series in weighted Orlicz spaces with Muckenhoupt weights are studied.

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Author Biography

Sadulla Z. Jafarov, Mus Alparslan University

Department of Mathematics and Science Education, Faculty of Education, Mus Alparslan University, 49250, Mus

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Published

31-12-2018

How to Cite

Jafarov, S. Z. . (2018). Approximation of functions belonging to the weighted L(a, M, omega)-class by trigonometric polynomials. New Zealand Journal of Mathematics, 48, 11–23. https://doi.org/10.53733/24

Issue

Vol. 48 (2018)

Section

Articles