Weighted Integrability and Its Applications in Quantum Calculus

被引：0
|
作者：
Ümit Totur
İbrahim Çanak
Sefa Anıl Sezer
机构：
[1] Ege University,Department of Mathematics
[2] İstanbul Medeniyet University,Department of Mathematics
来源：
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2019年 / 89卷
关键词：
Tauberian theorems; -weighted integrability; -calculus; Jackson integral; 40E05; 05A30; 26A03;
D O I：
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中图分类号：
学科分类号：
摘要：
The weighted method of integrability in quantum calculus is introduced in this paper. Its several properties and the q-analogues of some results in summability theory are developed. Furthermore, some classical type Tauberian theorems for the weighted integrability of infinite q-integrals are established.
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页码：791 / 797
页数：6
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