Some Hermite-Hadamard and Opial dynamic inequalities on time scales

DOI10.1186/S13660-021-02624-9zbMath1504.26060OpenAlexW3165283587MaRDI QIDQ2072856

Pshtiwan Othman Mohammed, Khadijah M. Abualnaja, Y. S. Hamed, Artion Kashuri, Cheon Seoung Ryoo

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02624-9

zbMATH Keywords

time scalesHölder inequalityOpial inequalityHermite-Hadamard inequalitySteffensen inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales
• Some further refinements and extensions of the Hermite-Hadamard and Jensen inequalities in several variables
• On the definitions of nabla fractional operators
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Some weighted Opial-type inequalities on time scales
• New aspects of Opial-type integral inequalities
• On some Opial-type inequalities
• Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
• Opial integral inequalities for generalized fractional operators with nonsingular kernel
• On some generalizations of dynamic Opial-type inequalities on time scales
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hardy inequality on time scales and its application to half-linear dynamic equations
• Convex Functions on Discrete Time Domains
• Opial's type inequalities on time scales and some applications
• Some generalizations of Maroni's inequality on time scales
• Dynamic Inequalities On Time Scales
• Sur une inégalité
• Generalized integral inequalities for fractional calculus

This page was built for publication: Some Hermite-Hadamard and Opial dynamic inequalities on time scales