Jackson and\ Stechkin type inequalities of trigonometric approximation in $A_{w,\vartheta }^{p,q(\cdot )}$

Authors: AHMET HAMDİ AVŞAR, HÜSEYİN KOÇ

Abstract: In this paper, we study Jackson and Stechkin type theorems of trigonometric polynomial approximation in the space $A_{w,\vartheta }^{p,q(\cdot )}$ by considering a modulus of smoothness defined by virtue of the Steklov operator.

Keywords: Modulus of smoothness, trigonometric polynomials, Muckenhoupt weight, direct and inverse theorems

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