Trigonometric Approximation in Reflexive Orlicz Spaces
DOI:
https://doi.org/10.1007/s10496-011-0125-4Keywords:
Lipschitz class, matrix transform, modulus of continuity, Nölund transform, Orlicz space.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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2011-04-10
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Trigonometric Approximation in Reflexive Orlicz Spaces. (2011). Analysis in Theory and Applications, 27(2), 125-137. https://doi.org/10.1007/s10496-011-0125-4