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 - <p style="text-align: justify;">The Lipschitz classes $Lip(\alpha,M)$, $0 &lt; \alpha \leq1$ 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 $n^{−\alpha}$.</p>