Abstract In this article, the notion of interval-valued preinvex functions involving Riemann–Liouville fractional integral is described. By applying this, some new refinements Hermite–Hadamard inequality for operator are presented. Some novel special cases presented results discussed as well. Also, examples to validate our results. The established outcomes article may open another direction dif...

in this paper, we use the riemann-liouville fractionalintegrals to establish some new integral inequalities related tochebyshev's functional in the case of two differentiable functions.

For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in literature. In this regard, paper presents inequalities for operators by using a novel method based on Green’s function. Additionally, applying these identities to convex and monotone functions, new type are established. Furthermore, different form of also obtained approach. conclusio...

Many scholars have recently become interested in establishing integral inequalities using various known fractional operators. Fractional calculus has grown popularity as a result of its capacity to quickly solve real-world problems. First, we establish new the Hadamard–Mercer, Pachpatte–Mercer, and Dragomir–Agarwal–Mercer types containing an exponential kernel. In this regard, inequality proved...

In this article, we introduce a general class of convex functions and proved some its basic properties. We establish Hermite-Hadamard type inequalities as well fractional version by using Riemann-Liouville integral operator. At the end, application to special means real numbers are also given. It can be observed from remarks given in paper that several exiting results ligature obtained immediac...