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Uniform convergence of sine integral-series
Quaestiones Mathematicae ( IF 0.6 ) Pub Date : 2021-03-12 , DOI: 10.2989/16073606.2021.1891152
Péter Kórus 1 , Xhevat Z. Krasniqi 2 , Bogdan Szal 3
Affiliation  

Abstract

In this paper we define the class GMSF(α, β, γ) of General Monotone Sequence of Functions with majorants . For a sequence of admissible functions belonging to this class we find

necessary and sufficient conditions under which the sine integral-series

converges in the regular sense uniformly in .



中文翻译:

正弦积分级数的一致收敛

摘要

在本文中,我们定义了具有主子的一般单调函数序列的类 GMSF( α,β,γ ) 。对于属于此类的一系列可接受函数,我们发现

正弦积分级数的充要条件

在常规意义上均匀地收敛于.

更新日期:2021-03-12
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