Approximation by trigonometric polynomials in weighted grand Lorentz spaces

In the present paper, the relationship between the best approximation of the function and the best approximation of the derivatives of the function in the weighted grand Lorentz spaces has been investigated. The best approximation of the functions by trigonometric polynomials in weighted grand Lorentz spaces is studied. We study the inverse problem of approximation theory in weighted grand Lorentz spaces.

Authors

Publication Details

Journal
Uzbek Mathematical Journal
Published
2024-11-26
DOI
https://doi.org/10.29229/uzmj.2024-3-8
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Approximation by trigonometric polynomials in weighted grand Lorentz spaces

Sadulla Z. Jafarov
Uzbek Mathematical Journal
Approximation Theory and Sequence Spaces
article

Approximation by trigonometric polynomials in weighted grand Lorentz spaces

Sadulla Z. Jafarov
article en

Abstract

In the present paper, the relationship between the best approximation of the function and the best approximation of the derivatives of the function in the weighted grand Lorentz spaces has been investigated. The best approximation of the functions by trigonometric polynomials in weighted grand Lorentz spaces is studied. We study the inverse problem of approximation theory in weighted grand Lorentz spaces.

Uzbek Mathematical JournalVol. 68(3)
Openalex Percentile: Top 78%
Approximation Theory and Sequence Spaces
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Approximation by trigonometric polynomials in weighted grand Lorentz spaces — Sadulla Z. Jafarov · Uzbek Mathematical Journal (2024) | TGRS Research Map | TGRS