Approximation of Functions in Besov Space

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Published: Aug 1, 2021
DOI: https://doi.org/10.5556/j.tkjm.52.2021.3270
Keywords:
Degree of approximation; Besov space; Hausdorff means; generalized N¨orlund means; Hausdorff-genearlized N¨orlund means; Fourier series .

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Hare Krishna Nigam
Associate Professor and Head, Department of Mathematics, Central University of South Bihar, Gaya, Bihar, India
Supriya Rani
Department of Mathematics, Central University of South Bihar Gaya - 824236 (Bihar), India
https://orcid.org/0000-0002-3015-9499

Abstract




In the present paper, we establish a theorem on best approximation of a function $g \in B_q^{\lambda}(L^r)$ 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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How to Cite
Nigam, H. K., & Rani, S. . (2021). Approximation of Functions in Besov Space. Tamkang Journal of Mathematics, 52(3), 317–339. https://doi.org/10.5556/j.tkjm.52.2021.3270
Issue
Vol. 52 No. 3 (2021)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Author Biography

Hare Krishna Nigam, Associate Professor and Head, Department of Mathematics, Central University of South Bihar, Gaya, Bihar, India

Associate Professor and Head, Department of Mathematics

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