ON APPROXIMATION OF FUNCTIONS BY GEGEN BAWER SINGULAR INTEGRALS

被引：0
|
作者：
Ibrahimov, Elman J. [1 ]
Jafarova, Saadat A. [2 ]
机构：
[1] Azerbaijan State Oil Acad, 20 Azadlig Av, AZ-1601 Baku, Azerbaijan
[2] Azerbaijan State Econ Univ, AZ-1001 Baku, Azerbaijan
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2010年 / 33卷 / 41期
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In paper [1] we considered a problem on approximation of locally summable functions by Gegenbawer singular integrals. Here, we introduce the notion of Gegebawer singular integral with identical approximation kernel and clarify their convergence both in the nutric of the space L-p,L-lambda and at typical points of Lebesgue type. The obtained results are the analogies of appropriate results from the monograph [3].
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页码：67 / 78
页数：12
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