Quantum Lp-spaces and inequalities of Hardy's type

被引：2

作者：

Hamza, Alaa E. ^{[1
]}

Alghamdi, Maryam A. ^{[2
]}

Alasmi, Suha A. ^{[2
]}

机构：

[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

[2] Univ Jeddah, Coll Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 31卷 / 03期

关键词：

Quantum difference operator; quantum calculus; Hahn difference operator; Jackson q -difference operator;

D O I：

10.22436/jmcs.031.03.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we revisit the Lp-spaces, p 1, associated with a general quantum difference operator and prove some convergence theorems in the quantum setting. Furthermore, two inequalities of Hardy's type are established. Finally, many illustrative examples concerning with q-difference operator, Hahn difference operator and power quantum difference operator are given.

引用

页码：274 / 286

页数：13

共 15 条

[1]

Aldwoah K.A., 2012, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, V19, no, P93

[2] Q-ANALOGUES OF CAUCHYS FORMULAS [J].