TRIGONOMETRIC APPROXIMATION BY MATRIX TRANSFORMS IN Lp(x) SPACES

被引：18
|
作者：
Guven, Ali [1 ]
机构：
[1] Balikesir Univ, Fac Arts & Sci, Dept Math, TR-10145 Balikesir, Turkey
来源：
ANALYSIS AND APPLICATIONS | 2012年 / 10卷 / 01期
关键词：
Lebesgue space with variable exponent; Lipschitz class; matrix transform; modulus of continuity; Norlund transform; MAXIMAL-FUNCTION;
D O I：
10.1142/S0219530512500030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lipschitz classes Lip(alpha, p(x)), 0 < alpha <= 1 are defined for the Lebesgue spaces L-p(x) with variable exponent p(x), and the degree of approximation by matrix transforms of f is an element of Lip(alpha, p(x)) is estimated by n(-alpha).
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页码：47 / 65
页数：19
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