Trigonometric Approximation in Reflexive Orlicz Spaces

Trigonometric Approximation in Reflexive Orlicz Spaces

Year:    2011

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 2 : pp. 125–137

Abstract

The Lipschitz classes $Lip(\alpha,M)$, $0 < \alpha \leq1$ are defined for Orlicz space generated by the Young function $M$, and the degree of approximation by matrix transforms of $f \in Lip(\alpha,M)$ is estimated by $n^{−\alpha}$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.1007/s10496-011-0125-4

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 2 : pp. 125–137

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Lipschitz class matrix transform modulus of continuity Nölund transform Orlicz space.