In this study, we establish a novel version of Hermite-Hadamard inequalities through neoteric generalized Riemann-Liouville fractional integrals (RLFIs). For functions with the convex absolute values derivatives, create variety midpoint and trapezoid form inequalities, including RLFIs. Moreover, multiple can be produced as special cases findings study.

The purpose of this paper is to study a generalization strongly $\eta$-convex functions using the fractal calculus developed by Yang \cite{Yang}, namely generalized function. Among other results, we obtain some Hermite-Hadamard and Fej\'er type inequalities for class functions.

We establish various fractional convex inequalities of the Hermite-Hadamard type which generalize previously obtained results in literature. Various types such are and given as corollaries. The main motivation paper is to recently published terms (α, h − m) p convexity with k-p Riemann Liouville operator. application H¨olders inequality tandem operator type.

In order to show novel generalizations of mathematical inequality, fractional integral operators are frequently used. Fractional used simulate a broad range scientific as well engineering phenomena such elasticity, viscous fluid, fracture mechanics, continuous population, equilibrium, visco-elastic deformation, heat conduction problems, and others. this manuscript, we introduce some notions gen...

The theory of convexity has a rich and paramount history been the interest intense research for longer than century in mathematics. It not just fascinating profound outcomes different branches engineering mathematical sciences, it also plenty uses because its geometrical interpretation definition. provides numerical quadrature rules tools researchers to tackle solve wide class related unrelated...

Abstract In this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under concept, present versions Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval type for functions ( FIVF) by means fuzzy order relation. This relation is defined level wise thro...

In this paper, we present weighted integral inequalities of Hermite-Hadamard type for differentiable preinvex and prequasiinvex functions. Our results, on the one hand, give a weighted generalization of recent results for preinvex functions and, on the other hand, extend several results connected with the Hermite-Hadamard type integral inequalities. Applications of the obtained results are prov...