Best approximation of functions in generalized Hölder class

Here, for the first time, error estimation of the functions [Formula: see text] and [Formula: see text] classes using [Formula: see text] method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal in Int. Math. Forum 5(35):1729–1735...

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Detalles Bibliográficos
Autores principales: Nigam, H. K., Hadish, Md.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182430/
https://www.ncbi.nlm.nih.gov/pubmed/30363758
http://dx.doi.org/10.1186/s13660-018-1864-y
Descripción
Sumario:Here, for the first time, error estimation of the functions [Formula: see text] and [Formula: see text] classes using [Formula: see text] method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal in Int. Math. Forum 5(35):1729–1735, 2010; Dhakal in Int. J. Eng. Technol. 2(3):1–15, 2013; Kushwaha and Dhakal in Nepal J. Sci. Technol. 14(2):117–122, 2013) become the particular cases of our Theorem 2.1. Some important corollaries are also deduced from our main theorems.

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