Approximation of functions in the generalized Zygmund class using Hausdorff means

In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class [Formula: see text] ([Formula: see text] ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.

Detalles Bibliográficos
Autores principales: Singh, Mradul Veer, Mittal, ML, Rhoades, BE
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5420006/
https://www.ncbi.nlm.nih.gov/pubmed/28539751
http://dx.doi.org/10.1186/s13660-017-1361-8
Descripción
Sumario:In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class [Formula: see text] ([Formula: see text] ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.

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