Volume 27, Issue 2
Trigonometric Approximation in Reflexive Orlicz Spaces

Anal. Theory Appl., 27 (2011), pp. 125-137.

Published online: 2011-04

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• 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 $n^{−\alpha}$.

• Keywords

Lipschitz class, matrix transform, modulus of continuity, Nölund transform, Orlicz space.

41A25, 42A10, 46E30

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@Article{ATA-27-125, author = {}, title = {Trigonometric Approximation in Reflexive Orlicz Spaces}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {2}, pages = {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 $n^{−\alpha}$.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0125-4}, url = {http://global-sci.org/intro/article_detail/ata/4586.html} }
TY - JOUR T1 - Trigonometric Approximation in Reflexive Orlicz Spaces JO - Analysis in Theory and Applications VL - 2 SP - 125 EP - 137 PY - 2011 DA - 2011/04 SN - 27 DO - http://doi.org/10.1007/s10496-011-0125-4 UR - https://global-sci.org/intro/article_detail/ata/4586.html KW - Lipschitz class, matrix transform, modulus of continuity, Nölund transform, Orlicz space. AB -

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 $n^{−\alpha}$.

Ali Guven. (1970). Trigonometric Approximation in Reflexive Orlicz Spaces. Analysis in Theory and Applications. 27 (2). 125-137. doi:10.1007/s10496-011-0125-4
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