ESTIMATES FOR SOBOLEV-ORTHONORMAL FUNCTIONS AND GENERATED BY LAGUERRE FUNCTIONS

被引：0
|
作者：
Gadzhimirzaev, R. M. [1 ]
机构：
[1] RAS, Dagestan Fed Res Ctr, 45 M Gadzhieva St, Makhachkala 367025, Russia
来源：
PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2021年 / 10卷 / 01期
关键词：
Laguerre functions; Sobolev-type inner product; Sobolev-orthonormal functions; POLYNOMIALS; ORTHOGONALITY;
D O I：
10.15393/j3.art.2021.9210
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the system of functions lambda(alpha)(r,n)(x) (n = 0, 1, ...), alpha > -1, r is an element of N, orthonormal with respect to a Sobolev-type inner product and generated by the system of Laguerre functions. Using asymptotic formulas for the Laguerre polynomials, we obtain estimates for functions lambda(alpha)(r,n)(x), x is an element of [0, infinity).
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页码：23 / 37
页数：15
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