| Yazarlar |
Zeynep Cakir
|
|
Canay Aykol Kocakuşaklı
Ankara Üniversitesi, Türkiye |
Prof. Dr. Vagıf GULIYEV
Kütahya Dumlupınar Üniversitesi, Türkiye |
|
Ayhan Şerbetçi
Ankara Üniversitesi, Türkiye |
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Uluslararası alan indekslerindeki dergilerde yayımlanan tam makale |
| Dergi Adı | Carpathian Mathematical Publications |
| Dergi ISSN | ISSN-2075 |
| Dergi Tarandığı Indeksler | MathSciNet |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2021 |
| Cilt No | 13 |
| Sayı | 3 |
| Sayfalar | 750 / 763 |
| Doi Numarası | 10.15330/cmp.13.3.750-763 |
| Makale Linki | https://journals.pnu.edu.ua/index.php/cmp/article/view/4798/5994 |
