On trigonometric approximation of functions in the Lq norm

Demonstratio Mathematica

卷:51

Mohapatra Ram N.¹  Szal Bogdan² 

[1] University of Central Florida, Orlando, FL 32816, USA;

[2] University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics, 65-516 Zielona Góra, ul. Szafrana 4a, Poland;

关键词: class Lip (β;    q);    trigonometric approximation;    Lq norm;    42A10;    41A25;   

DOI  :  10.1515/dema-2018-0004

来源: DOAJ

【 摘 要 】

In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the infinite matrix.

【 授权许可】

Unknown