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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

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

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

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

Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions

open access: yesFractal and Fractional, 2021
The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan   +4 more
doaj   +1 more source

On some inequality of Hermite-Hadamard type [PDF]

open access: yesOpuscula Mathematica, 2012
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Szymon Wąsowicz, Alfred Witkowski
doaj   +1 more source

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana   +4 more
doaj   +1 more source

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