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).

引用

页码：23 / 37

页数：15

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