Hardy-Copson Type Inequalities for Nabla Time Scale Calculus
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Abstract
This paper is devoted to the nabla unification of the discrete and continuous Hardy?Copson type inequalities. Some of the obtained inequalities are nabla counterparts of their delta versions while the others are new even for the discrete, continuous, and delta cases. Moreover, these dynamic inequalities not only generalize and unify the related ones in the literature but also improve them in the special cases.
Description
Kayar, Zeynep/0000-0002-8309-7930
Keywords
Nabla Time Scale Calculus, Hardy?S Inequality, Copson?S Inequality, Matematik, Copson’s Inequality, Hardy’s Inequality, nabla time scale calculus, Dynamic equations on time scales or measure chains, Copson's inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Hardy's inequality
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Kayar, Zeynep; Kaymakçalan, B. (2021). "Hardy—Copson type inequalities for nabla time scale calculus", Turkish Journal of Mathematics, Vol.45, No.2, pp.1040-1064.
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OpenCitations Citation Count
13
Volume
45
Issue
2
Start Page
1040
End Page
1064
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CrossRef : 6
Scopus : 15
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