Approximation in weighted Orlicz spaces

被引:19
作者
Akgun, Ramazan [1 ]
Israfilov, Daniyal M. [1 ,2 ]
机构
[1] Balikesir Univ, Fac Art & Sci, Dept Math, TR-10145 Balikesir, Turkey
[2] ANAS Inst Math & Mech Baku, Baku, Azerbaijan
关键词
direct theorem; inverse theorem; Orlicz space; Muckenhoupt weight; modulus of smoothness; K-FUNCTIONALS; INEQUALITIES; POLYNOMIALS; MODULI;
D O I
10.2478/s12175-011-0031-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt's A (p) condition.
引用
收藏
页码:601 / 618
页数:18
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