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Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences. [PDF]

open access: yesEntropy (Basel), 2023
In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
Horváth L.
europepmc   +2 more sources

Some generalized Hermite–Hadamard–Fejér inequality for convex functions [PDF]

open access: yesAdvances in Difference Equations, 2021
In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are applied for fractional integrals of various type and therefore contain some previous results reported in ...
Miguel Vivas-Cortez   +2 more
doaj   +2 more sources

Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions [PDF]

open access: yesJournal of Applied Mathematics, 2014
We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically ...
Feixiang Chen, Shanhe Wu
doaj   +3 more sources

On Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals [PDF]

open access: yesMathematica Moravica, 2017
In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fejér type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.
Akkurt Abdullah, Yıldırım Hüseyın
doaj   +2 more sources

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

open access: yesFractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom   +3 more
doaj   +1 more source

Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions

open access: yesMathematics, 2022
The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities for the class of functions whose product
Muhammad Bilal Khan   +3 more
doaj   +1 more source

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

open access: yesDemonstratio Mathematica, 2023
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj   +1 more source

Some New Versions of Integral Inequalities for Left and Right Preinvex Functions in the Interval-Valued Settings

open access: yesMathematics, 2022
The principles of convexity and symmetry are inextricably linked. Because of the considerable association that has emerged between the two in recent years, we may apply what we learn from one to the other.
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]

open access: yesSahand 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

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