ASYMPTOTIC-BEHAVIOR OF THE SINGULAR-VALUES OF FRACTIONAL INTEGRAL-OPERATORS

被引：9
|
作者：
DOSTANIC, MR
机构：
[1] Institute for Applied Mathematics and Electronics, Belgrade
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 175卷 / 02期
关键词：
D O I：
10.1006/jmaa.1993.1177
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we find the precise asympotic of the singular numbers of the fractional integral operator [Formula Presented] in the case 0 < α ≤ 1/2 and improve the known estimates for 1/2 < α < 1. Also, we obtain some results concerning the precise asympotic of the singular numbers of convolution operators similar to the fractional integral operators. © 1993 Academic Press. Inc. All rights reserved.
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页码：380 / 391
页数：12
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