Open AccessApproximation 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.