Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity

Diamond-alpha Pachpatte type dynamic inequalities, which are convex generalizations of diamond-alpha Hardy−Copson type inequalities, are established to harmonize and bind foregoing related results in the delta and nabla calculi. A noteworthy contribution of the paper is that new diamond-alpha dynami...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 33; no. 3; pp. 767 - 782
Main Authors Kayar, Zeynep, Kaymakçalan, Billur
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.07.2025
Springer Nature B.V
Subjects
Computer Science
Convexity
Engineering
Inequalities
Mathematics
Mathematics and Statistics
Original Research
26A51
Diamond-alpha time scale calculus
34N05
26D10
Hardy’s inequality
Pachpatte’s inequality
Convexity
26D15
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Summary:Diamond-alpha Pachpatte type dynamic inequalities, which are convex generalizations of diamond-alpha Hardy−Copson type inequalities, are established to harmonize and bind foregoing related results in the delta and nabla calculi. A noteworthy contribution of the paper is that new diamond-alpha dynamic inequalities as well as their delta and nabla versions are derived by making use of convexity.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-023-00640-3