Fejér means in variable exponent Lebesgue spaces on the real axis

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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 : 47 | Download : 41

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

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