Embedding Relations Connected with Strong Approximation of Fourier Series

Proceedings Mathematical Sciences

Bogdan Szal¹ 

[1] Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, - Zielona Góra, ul. Szafrana a, Poland$$

关键词: Strong approximation;    Fourier series;    embedding theorems.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We consider the embedding relation between the class $W^q H^𝜔_𝛽$, including only odd functions and a set of functions defined via the strong means of Fourier series of odd continuous functions. We establish an improvement of a recent theorem of Le and Zhou [Math. Inequal. Appl. 11(4)(2008) 749--756] which is a generalization of Tikhonov’s results [Anal. Math. 31(2005) 183--194]. We also extend the Leindler theorem [Anal. Math. 31(2005) 175--182] concerning sequences of Fourier coefficients.

【 授权许可】

Unknown