New fractional inequalities of midpoint type via \(s\)-convexity and their application

DOI10.1186/s13660-019-2215-3zbMath1499.26091OpenAlexW2980462266WikidataQ127012538 ScholiaQ127012538MaRDI QIDQ2068050

Ohud Almutairi, Adem Kilicman

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2215-3

zbMATH Keywords

convex functionsHölder inequalityHermite-Hadamard inequalityspecial meansmidpoint formula

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Related Items (7)

Generalized Hermite-Hadamard-type integral inequalities for \(h\)-Godunova-Levin functions ⋮ Midpoint inequalities via strong convexity using positive weighted symmetry kernels ⋮ Generalized Fejér-Hermite-Hadamard type via generalized \((h-m)\)-convexity on fractal sets and applications ⋮ JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS ⋮ FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS ⋮ Dynamical significance of generalized fractional integral inequalities via convexity ⋮ Hermite-Hadamard type inequalities for \(m\)-convex and \(( \alpha , m)\)-convex functions

Cites Work

• Hermite and convexity
• Some remarks on \(s\)-convex functions
• A theorem on mappings with bounded derivatives with applications to quadrature rules and means.
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• New Hermite-Hadamard type integral inequalities for convex functions and their applications
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• New refinements of the Hadamard inequality on coordinated convex function
• Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications
• Analytic Number Theory, Approximation Theory, and Special Functions
• Distributed Convex Optimization with Inequality Constraints over Time-Varying Unbalanced Digraphs
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming

This page was built for publication: New fractional inequalities of midpoint type via \(s\)-convexity and their application