HERMITE-HADAMARD TYPE INEQUALITIES FOR TWICE DIFFERENTIABLE m-CONVEX FUNCTIONS VIA CONFORMABLE FRACTIONAL INTEGRALS

DOI10.17654/MS101040873zbMath1365.26009OpenAlexW2583995168MaRDI QIDQ5269580

Abdurrahman Gözpinar, Erhan Set, Junesang Choi

Publication date: 27 June 2017

Published in: Far East Journal of Mathematical Sciences (FJMS) (Search for Journal in Brave)

Full work available at URL: http://www.pphmj.com/abstract/10554.htm

zbMATH Keywords

Hermite-Hadamard type inequalities\(m\)-convex functionconformable fractional integral

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) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Related Items (18)

Hermite-Jensen-Mercer type inequalities for conformable integrals and related results ⋮ Unnamed Item ⋮ Some new generalizations of Ostrowski type inequalities for s-convex functions via fractional integral operators ⋮ Unnamed Item ⋮ Some New Hermite–Hadamard Type Integral Inequalities via Caputo k–Fractional Derivatives and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Mappings and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Generalized ((h 1, h 2); (η 1, η 2))-Convex Mappings and Their Applications ⋮ On the more general Hermite-Hadamard type inequalities for convex functions via conformable fractional integrals ⋮ Some new Hermite-Hadamard type inequalities via Caputo k-fractional derivatives concerning (n+1)-differentiable generalized relative semi-(r;m,h_1,h_2)-preinvex mappings ⋮ Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives ⋮ Some Different Type Integral Inequalities and Their Applications ⋮ Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives ⋮ Some New Ostrowski Type Integral Inequalities via General Fractional Integrals ⋮ Some new \(k\)-fractional trapezium-like integral inequalities via generalized relative semi-\((r;m,h_1,h_2)\)-preinvex mappings and applications ⋮ Unnamed Item ⋮ A study on Hermite–Hadamard-type inequalities via new fractional conformable integrals ⋮ New Hermite-Hadamard inequalities concerning twice differentiable generalized \(\psi\)-convex mappings via conformable fractional integrals ⋮ Some Caputo k-fractional derivatives of Ostrowski type concerning (n+1)-differentiable generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings

This page was built for publication: HERMITE-HADAMARD TYPE INEQUALITIES FOR TWICE DIFFERENTIABLE m-CONVEX FUNCTIONS VIA CONFORMABLE FRACTIONAL INTEGRALS