Some new Hermite-Hadamard type inequalities via k-fractional integrals concerning differentiable generalized-m-((h_1^p,h_2^q);(η_1,η_2))-convex mappings

DOI10.7153/fdc-2019-09-07zbMath1438.26073OpenAlexW2960861320MaRDI QIDQ5229311

Rozana Liko, Artion Kashuri

Publication date: 14 August 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2019-09-07

zbMATH Keywords

Hölder inequalityHermite-Hadamard inequalityMinkowski inequalitypower mean inequality\(m\)-invex

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inequalities for \(h\)-preinvex functions
• On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
• On \(h\)-convexity
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• Pre-invex functions in multiple objective optimization
• Extensions of different type parameterized inequalities for generalized \((m,h)\)-preinvex mappings via \(k\)-fractional integrals
• Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
• Hermite-Hadamard type inequalities for generalized \((s,m,\varphi)\)-preinvex functions via \(k\)-fractional integrals
• \(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Generalized Hermite-Hadamard type inequalities involving fractional integral operators
• On φ-convex functions
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• On η-convexity
• Two Schur-convex functions related to Hadamard-type\\ integral inequalities
• Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
• Invexity and generalized convexity
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
• Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions
• Hermite-Hadamard type fractional integral inequalities for MT$_{(m,\varphi)}$-preinvex functions
• Some Simpson type inequalities for h-convex and (\alpha,m)-convex functions

This page was built for publication: Some new Hermite-Hadamard type inequalities via k-fractional integrals concerning differentiable generalized-m-((h_1^p,h_2^q);(η_1,η_2))-convex mappings