Approximation of Functions in Besov Space | Zendy

Hare Krishigam | Zendy; Supriya Rani | Zendy

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Approximation of Functions in Besov Space

Author(s) -

Hare Krishigam,

Supriya Rani

Publication year - 2021

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.52.2021.3270

Subject(s) - mathematics , fourier series , space (punctuation) , besov space , series (stratigraphy) , pure mathematics , fourier transform , function (biology) , function space , fourier inversion theorem , mathematical analysis , discrete mathematics , fourier analysis , interpolation space , functional analysis , computer science , paleontology , biochemistry , chemistry , evolutionary biology , biology , gene , operating system , fractional fourier transform

In the present paper, we establish a theorem on best approximation of a function g ∈ Bqλ(Lr) of its Fourier series. Our main theorem generalizes some known results of this direction of work. Thus, the results of [10], [26] and [27] become the particular case of our main Theorem 3.1.

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