On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean

Autor: Hemen Dutta, Susanta Kumar Paikray, Umakanta Misra, Tejaswini Pradhan, Bidu Bhusan Jena
Rok vydání: 2019
Předmět:
Zdroj: Afrika Matematika. 30:1119-1131
ISSN: 2190-7668
1012-9405
DOI: 10.1007/s13370-019-00706-y
Popis: In this paper, we have studied an estimate of the rate of convergence of Fourier series in the generalized Holder metric $$H_{L_{r}}^{(\omega )}$$ space by using deferred Norlund mean and established some new results. Our results are more advanced that generalize and unify many other results available in the literature.
Databáze: OpenAIRE