Absolutely convergent Fourier-Jacobi series and generalized Lipschitz classes

被引：1

作者：

Saadi, Faouaz ^{[1
]}

Daher, Radouan ^{[1
]}

机构：

[1] Ain Chock Univ Hassan II, Dept Math, Lab Topol Algebra Geometry & Discrete Math, Fac Sci, Casablanca, Morocco

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 04期

关键词：

Fourier-Jacobi series; Fourier-Jacobi transform; generalized translation operator; Lipschitz class; Boas theorems;

D O I：

10.1080/10652469.2022.2122460

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give necessary and sufficient conditions in terms of Fourier-Jacobi coefficients of a function f, to ensure that f belongs either to one of the generalized Lipschitz classes H-alpha,beta(m) and h(alpha,beta)(m) for alpha >= , beta >= -1/2 and alpha not equal -1/2. Also a condition for generalized Jacobi differentiability of a function on interval [0, pi] is proved.

引用

页码：334 / 345

页数：12

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[3]

Erdelyi A, 1953, Higher transcendental function, VI and II

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