UNIFORM CONVERGENCE OF SINE INTEGRAL-SERIES

被引：0

作者：

Korus, Peter ^{[1
]}

Krasniqi, Xhevat Z. ^{[2
]}

Szal, Bogdan ^{[3
]}

机构：

[1] Univ Szeged, Dept Math, Juhasz Gyula Fac Educ, Hattyas Utca 10, H-6725 Szeged, Hungary

[2] Univ Prishtina, Fac Educ, Dept Math & Informat, Ave Mother Theresa 5, Prishtine 10000, Kosovo

[3] Univ Zielona Gora, Fac Math Comp Sci & Econometr, Ul Szafrana 4a, PL-65516 Zielona Gora, Poland

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 05期

关键词：

Uniform convergence; sine integral-series; general monotone sequence; admissible functions; TRIGONOMETRIC SERIES;

D O I：

10.2989/16073606.2021.1891152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define the class GMSF(alpha, beta, gamma) of General Monotone Sequence of Functions with majorants alpha, beta, gamma : (R) over bar (2)(+) -> (R) over bar (+), (R) over bar (+) := [0, infinity). For a sequence of admissible functions {f(k)(t)}(k=1)(infinity) subset of C belonging to this class we find necessary and sufficient conditions under which the sine integral-series integral(infinity)(0)Sigma(k=1) f(k)(t) sin ku sin tv dt converges in the regular sense uniformly in (u, v) is an element of <(R)over bar(+)(2).

引用

页码：711 / 722

页数：12

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