- Turkish Journal of Mathematics
- Vol: 42 Issue: 6
- Jackson and Stechkin type inequalities of trigonometric approximation in A p,q(·) w,ϑ
Jackson and Stechkin type inequalities of trigonometric approximation in A p,q(·) w,ϑ
Authors : Ahmet Hamdi Avşar, Hüseyin Koç
Pages : 2979-2993
View : 8 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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