Some new Opial type dynamic inequalities via convex functions and applications

DOI10.1186/s13662-021-03461-2zbMath1494.26055OpenAlexW3174377352MaRDI QIDQ2167043

Samir H. Saker, A. G. Sayed, Donal O'Regan, Jehad O. Alzabut

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03461-2

zbMATH Keywords

time scalesHölder inequalityJensen inequalityOpial inequality

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Cites Work

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• Some generalizations of Opial's inequalities on time scales
• Some weighted Opial-type inequalities on time scales
• Basic calculus on time scales and some of its applications
• Non-connected convexities and applications
• Opial inequalities on time scales
• Dynamic Inequalities On Time Scales
• Sur une inégalité
• On Opial-type integral inequalities

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