- Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Volume:26 Issue:1
- Fejér means in variable exponent Lebesgue spaces on the real axis
Fejér means in variable exponent Lebesgue spaces on the real axis
Authors : Ebru Altiparmak, Ali Güven
Pages : 188-195
Doi:10.25092/baunfbed.1356259
View : 36 | Download : 39
Publication Date : 2024-01-19
Article Type : Research Paper
Abstract :Variable exponent Lebesgue spaces are generalizations of classical Lebesgue spaces and have importance in many branches of Mathematical Analysis. Especially, direct and converse theorems and their improvements are studied by many mathematicians in these spaces. In this article, direct and converse predictions for the rate of convergence of Fejér means of functions belonging to the variable Lebesgue space L^p(⋅) (R) are established by using an appropriate K-functional. In this way, the result of Z. Ditzian on Fejér means in classical Lebesgue spaces L^p (R)(1
Keywords : Fejer ortalamalar, Fourier dönüşüm, değişken üslü Lebesgue uzayı