Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities involving fractional integral operators
Copyright policy )Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities involving fractional integral operators
Since the so-called Hermite-Hadamard type inequalities for convex functions were presented, their generalizations, refinements, and variants involving various integral operators have been extensively investigated. Here we aim to establish several Hermite-Hadamard inequalities and Hermite- Hadamard-Fejer type inequalities for symmetrized convex functions and Wright-quasi-convex functions with a weighted function symmetric with respect to the midpoint axis on the interval involving the fractional conformable integral operators initiated by Jarad et al. [9]. We also point out that certain known inequalities are particular cases of the results presented here.
- Ordu University Turkey
- Ağrı İbrahim Çeçen University Turkey
convex function, symmetrized convex function, Convex-Functions, Hermite-Hadamard type inequalities, Symmetrized convex function, Inequalities involving derivatives and differential and integral operators, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Quasi-convex function, quasi-convex function, generalized fractional integral operators, Convex function, Fractional derivatives and integrals, Generalized fractional integral operators, Wright-quasi-convex functions, Hermite-Hadamard-Fejer type inequalities, Inequalities for sums, series and integrals
convex function, symmetrized convex function, Convex-Functions, Hermite-Hadamard type inequalities, Symmetrized convex function, Inequalities involving derivatives and differential and integral operators, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Quasi-convex function, quasi-convex function, generalized fractional integral operators, Convex function, Fractional derivatives and integrals, Generalized fractional integral operators, Wright-quasi-convex functions, Hermite-Hadamard-Fejer type inequalities, Inequalities for sums, series and integrals
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