Approximation by Trigonometric Polynomials in the Variable Exponent Weighted Morrey Spaces
Yazarlar (4)
Z. Cakir
Ankara Üniversitesi, Türkiye
C. Aykol
Ankara Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
A. Serbetci
Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
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| Dergi Adı | Carpathian Mathematical Publications | ||
| Dergi ISSN | 2075-9827 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2021 |
| Cilt / Sayı / Sayfa | 13 / 3 / 750–763 | DOI | 10.15330/cmp.13.3.750-763 |
| Makale Linki | https://journals.pnu.edu.ua/index.php/cmp/article/view/4798/5994 | ||
| Özet |
| In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces Mp(⋅),λ(⋅)(I0,w), where w is a weight function in the Muckenhoupt Ap(⋅)(I0) class. We get a characterization of K-functionals in terms of the modulus of smoothness in the spaces Mp(⋅),λ(⋅)(I0,w). Finally, we prove the direct and inverse theorems of approximation by trigonometric polynomials in the spaces Mp(⋅),λ(⋅)(I0,w), the closure of the set of all trigonometric polynomials in Mp(⋅),λ(⋅)(I0,w). |
| Anahtar Kelimeler |
| Fourier series | L-method of summation | Method of regularization |