This study deals with a novel class of mean-type inequalities by employing fractional calculus and convexity theory. The high correlation between symmetry increases its significance. In this paper, we first establish an identity that is crucial in investigating mean inequalities. Then, the main results involving error estimation Hermite–Hadamard inequality for composite convex functions via gen...

The relevance of convex and non-convex functions in optimization research is well known. Due to the behavior its definition, idea convexity also plays a major role subject inequalities. main concern this paper establish new integral inequalities for newly defined left right interval-valued function on coordinates through pseudo order relation double integral. Some Hermite–Hadamard type product ...

In the present paper we establish some integral inequalities analogous to the wellknown Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral form.

In this work, we introduce the idea of n –polynomial harmonically id="M4"> s –type convex function. We elaborate new introduced by examples and some interesting algebraic properties. As a result, Hermite–Hadamard, refinements Hermite–Hadamard Ostrowski type integral inequalities are established, which generalize...

equality holds in either side only for the affine functions (i.e., for the functions of the form mx+ n). The middle point (a + b)/2 represents the barycenter of the probability measure 1 b−adx (viewed as a mass distribution over the interval [a, b]), while a and b represent the extreme points of [a, b]. Thus the Hermite-Hadamard inequality could be seen as a precursor of Choquet’s theory. See [...

In the paper, we study dynamic h-convexity for interval valued functions. Some generalizations of Jensen’s inequality in analysis h-convex functions on time scales are proved paper. seek applications generalized inequality, Hermite-Hadamard type inequalities established. Further discrete analogues newly results also presented numerical examples provided to check validity results.

In this paper, using the definition of functions (h,m,s)-convex modified second type, various extensions classic Hermite-Hadamard Inequality are obtained Katugampola integrals. addition, we show that several results known particular cases ours.