Turkish Journal of Mathematics
DOI
10.3906/mat-1909-44
Abstract
In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class $Lip(\alpha ,M,\omega )$ through matrix transforms $% T_{n}^{\left( A\right) }(x,f)$,$~$and Nörlund means $N_{n}\left(x,f\right) ~$of their trigonometric Fourier series.
Keywords
Matrix transforms, trigonometric approximation, Orlicz space, weighted Orlicz space, Boyd indices, Muckenhoupt weight, modulus of smoothness, weighted Lipschitz classes
First Page
179
Last Page
193
Recommended Citation
JAFAROV, SADULLA
(2020)
"Approximation by matrix transforms in weighted Orlicz spaces,"
Turkish Journal of Mathematics: Vol. 44:
No.
1, Article 26.
https://doi.org/10.3906/mat-1909-44
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss1/26
