Hardy–Leindler, Yang and Hwang Inequalities for Functions of Several Variables via Time Scale Calculus

Symmetry

Huma Akbar¹  Ammara Nosheen²  Nehad Ali Shah³  Jae Dong Chung³  Maroof Ahmad Sultan⁴ 

[1] Department of Mathematics and Statistics, The University of Lahore, Sargodha Campus, Sargodha 40100, Pakistan;Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan;Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea;Nusrat Jahan College Chenab Nagar, Chiniot 35400, Pakistan;

关键词: Hardy-type inequalities;    Leindler-type inequalities;    Yang- and Hwang-type inequalities;    time scales calculus;   

DOI  :  10.3390/sym14040802

来源: DOAJ

【 摘 要 】

In this paper, Hardy–Leindler, Hardy–Yang and Hwang type inequalities are extended on time scales calculus. These extensions are depending upon use of symmetric multiple delta integrals. The target is achieved by utilizing some inequalities in literature along with mathematical induction principle and Fubini’s theorem on time scales. The obtained inequalities are discussed in discrete, continuous and quantum calculus in search of applications. Particular cases of proved results include Hardy, Copson, Hardy–Littlewood, Levinson and Bennett-type inequalities for symmetric sums.

【 授权许可】

Unknown