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 M-p(.),M-lambda(.) (I-0, w), where w is a weight function in the Muckenhoupt A(p(.)) (I-0) class. We get a characterization of K-functionals in terms of the modulus of smoothness in the spaces M-p(.),M-lambda(.) (I-0, w). Finally, we prove the direct and inverse theorems of approximation by trigonometric polynomials in the spaces (M) over tilde (p(.),lambda(.)) (I-0, w), the closure of the set of all trigonometric polynomials in M-p(.),M-lambda(.) (I-0, w). |
| Anahtar Kelimeler |
| Fourier series | L-method of summation | Method of regularization |
| Atıf Sayıları | |
| Google Scholar | 2 |
| Web of Science | 1 |