Results 1 to 10 of about 4,626 (112)
Hermite–Hadamard type inequalities for fractional integrals via Green’s function [PDF]
Journal of Inequalities and Applications, 2018 In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type ...
Muhammad Adil Khan +3 more
doaj +2 more sources
Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions [PDF]
The Scientific World Journal, 2014 We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex.
Feixiang Chen, Shanhe Wu
doaj +2 more sources
Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings
Mathematics, 2021 In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Xuexiao You +4 more
doaj +1 more source
Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
doaj +1 more source
Quantum Inequalities of Hermite–Hadamard Type for r-Convex Functions
Journal of Mathematics, 2021 In this present study, we first establish Hermite–Hadamard type inequalities for r-convex functions via qκ2-definite integrals. Then, we prove some quantum inequalities of Hermite–Hadamard type for product of two r-convex functions.
Xuexiao You +3 more
doaj +1 more source
Advances in Difference Equations, 2021 In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion of q b $q^{b}$ -integral. We prove some new inequalities related with right-hand sides of q b $q^{b}$ -Hermite–Hadamard inequalities for differentiable
Muhammad Aamir Ali +3 more
doaj +1 more source
Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj +1 more source
fixed point, ψ-contraction, r-hybrid ψ-contraction, dynamic programming, integral equation
AIMS Mathematics, 2021 In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer
Miguel Vivas-Cortez +3 more
doaj +1 more source
Refinements of quantum Hermite-Hadamard-type inequalities
Open Mathematics, 2021 In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin +3 more
doaj +1 more source
Inequalities Pertaining Fractional Approach through Exponentially Convex Functions
Fractal and Fractional, 2019 In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid +2 more
doaj +1 more source