Approximation of signals belonging to generalized Lipschitz class using -summability mean of Fourier series

Cogent Mathematics

Umakanta Misra¹  Tejaswini Pradhan²  Susanta Kumar Paikray² 

[1] NIST Pallur Hills;VSS University of Technology;

关键词: degree of approximation;    Fourier series;    weighted $ W(L_{r},\xi (t)) $-class;    $ (\overline{N}, p_{n}, q_{n})(E, s) $-mean;    $ (\overline{N} p_{n}q_{n})(E, s) $-mean;    Lebesgue integral;   

DOI  :  10.1080/23311835.2016.1250343

来源: DOAJ

【 摘 要 】

Degree of approximation of functions of different classes has been studied by several researchers by different summability methods. In the proposed paper, we have established a new theorem for the approximation of a signal (function) belonging to the $ W(L_{r},\xi (t)) $-class by $ (\overline{N},p_{n},q_{n})(E,s) $-product summability means of a Fourier series. The result obtained here, generalizes several known theorems.

【 授权许可】

Unknown