Some New Hermite-Hadamard Type Inequalities Via k-Fractional Integrals Concerning Differentiable Generalized Relative Semi-(r;m,p,q,h1,h2)-Preinvex Mappings
Copyright policy )Some New Hermite-Hadamard Type Inequalities Via k-Fractional Integrals Concerning Differentiable Generalized Relative Semi-(r;m,p,q,h1,h2)-Preinvex Mappings
Abstract In this article, we first presented a new identity concerning differentiable mappings defined on m-invex set via k-fractional integrals. By using the notion of generalized relative semi-(r;m,p,q,h1,h2)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard type inequalities via k-fractional integrals are established. It is pointed out that some new special cases can be deduced from main results of the article.
- University of Vlorë Albania
Hermite-Hadamard-type inequality, Hölder inequality, Minkowski inequality, Inequalities involving derivatives and differential and integral operators, \(m\)-invex, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, \(k\)-fractional integrals, Inequalities for sums, series and integrals, Inequalities involving other types of functions, power mean inequality, \textit{MT}-convex function
Hermite-Hadamard-type inequality, Hölder inequality, Minkowski inequality, Inequalities involving derivatives and differential and integral operators, \(m\)-invex, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, \(k\)-fractional integrals, Inequalities for sums, series and integrals, Inequalities involving other types of functions, power mean inequality, \textit{MT}-convex function
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