Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means

Generalization of Some Inequalities for Differentiable Co-ordinated Convex Functions With Applications

“…Moreover, many inequalities of special means can be obtained for a particular choice of the function f . Due to the rich geometrical significance of Hermite-Hadamard's inequality (1), there is growing literature providing its new proofs, extensions, refinements and generalizations, see for example [2,4,5,6,9,21,22] and the references therein.…”

Derivation and applications of inequalities of Ostrowski type for n-times differentiable mappings for cumulative distribution function and some quadrature rules

“…Some of the classical inequalities for means can be derived from [2] for particular choices of the function f. Many researchers have given considerable attention to the inequality (1.1) and its various generalizations, have appeared in the literature, to mention a few, see [1,4,5,6,8,9,10,11,13,16,20,21] and the references cited therein.…”

On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function

“…The left-sided Riemann-Liouville fractional integral J α a + of order α > 0 of f is defined by 1) provided that the integral exists. The right-sided Riemann-Liouville fractional integral J α b − of order α > 0 of f is defined by…”

“…Many generalizations and extensions of the Hermite-Hadamard inequality exist in the literatures; see [1]- [12], [14,15], [18]- [23] and references therein. Recently, several Hermite-Hadamard type inequalities were obtained for various classes of functions using fractional integrals; see [3,5,6,14,15,22,23] and references therein.…”