A comprehensive review of the Hermite–Hadamard inequality pertaining to fractional integral operators
In the frame of fractional calculus, the term convexity is primarily utilized to address several
challenges in both pure and applied research. The main focus and objective of this review …
challenges in both pure and applied research. The main focus and objective of this review …
Hermite-Hadamard-type fractional inclusions for interval-valued preinvex functions
We introduce a new class of interval-valued preinvex functions termed as harmonically h-
preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for …
preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for …
Hermite–hadamard type inclusions for interval-valued coordinated preinvex functions
The connection between generalized convexity and symmetry has been studied by many
authors in recent years. Due to this strong connection, generalized convexity and symmetry …
authors in recent years. Due to this strong connection, generalized convexity and symmetry …
A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
A review of the results on the fractional Fejér-type inequalities, associated with different
families of convexities and different kinds of fractional integrals, is presented. In the …
families of convexities and different kinds of fractional integrals, is presented. In the …
Some New Fractional Inequalities Defined Using cr-Log-h-Convex Functions and Applications
There is a strong correlation between the concept of convexity and symmetry. One of these
is the class of interval-valued cr-log-h-convex functions, which is closely related to the theory …
is the class of interval-valued cr-log-h-convex functions, which is closely related to the theory …
[PDF][PDF] Dynamical significance of generalized fractional integral inequalities via convexity
The main goal of this paper is to develop the significance of generalized fractional integral
inequalities via convex functions. We obtain the new version of fractional integral …
inequalities via convex functions. We obtain the new version of fractional integral …
On Some New Inequalities of Hermite–Hadamard Midpoint and Trapezoid Type for Preinvex Functions in p,q-Calculus
In this paper, we establish some new Hermite–Hadamard type inequalities for preinvex
functions and left-right estimates of newly established inequalities for p, q-differentiable …
functions and left-right estimates of newly established inequalities for p, q-differentiable …
Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard
inequality for k-fractional integrals involving r-times differentiable preinvex functions. It is …
inequality for k-fractional integrals involving r-times differentiable preinvex functions. It is …
Trapezoid and Midpoint type inequalities for preinvex functions via quantum calculus
In this article, we use quantum integrals to derive Hermite–Hadamard inequalities for
preinvex functions and demonstrate their validity with mathematical examples. We use the q …
preinvex functions and demonstrate their validity with mathematical examples. We use the q …
Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications
In this work, we introduce new definitions of left and right-sides generalized conformable K-
fractional derivatives and integrals. We also prove new identities associated with the left and …
fractional derivatives and integrals. We also prove new identities associated with the left and …