The main objective of this paper is to establish some new variants the Jensen–Mercer inequality via harmonically strongly convex function. We also propose fractional analogues Hermite–Hadamard–Jensen–Mercer-like inequalities using AB integrals. In order obtain our results, we derive integral identities. To demonstrate significance present interesting applications special means and error bounds ...

The main goal of this work is to provide quantum parametrized Hermite-Hadamard like type integral inequalities for functions whose second derivatives in absolute values follow different convexities. A new identity derived twice differentiable functions, which used as a key element our demonstrations along with several basic such as: power mean inequality, and Holder’s inequality. symmetry the s...

We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to Specht's ratio. Among them, we show that, if $A, Bin mathcal{B(mathcal{H})}$ satisfy in some conditions, it follow...

In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals types. Then, prove some new q-midpoint q-trapezoidal estimates for newly established q-Hermite-Hadamard inequality (involving left right proved by Bermudo et al.) under q-differentiable convex functions. Finally, provide examples to illustrate validity obtained inequalities.

In this paper, authors study the concept of (s,m)-exponential type convex functions and their algebraic properties. New generalizations Hermite-Hadamard inequality for function ? products two are proved. Some refinements (H-H) whose first derivative in absolute value at certain power obtain. Finally, many new bounds special means error estimates trapezoidal midpoint formula provided as well.

In this work, we use the idea of interval-valued convex functions Center-Radius (cr)-order to give fractional versions Hermite–Hadamard inequality. The results are supported by some numerical estimations and graphical representations considering suitable examples. novel in context cr-convex deal with differintegrals p+s2 type. We believe will be an important contribution spurring additional res...

In this paper, we establish integral inequalities of Hermite-Hadamard type for multiplicativelys-preinvex functions. We also obtain some new inequalities involving multiplicative integralsby using some properties of multiplicatively s-preinvex and preinvex functions.