The Jensen and Hermite-Hadamard inequalities [PDF]
, 2022 The aim of this presentation is to show the Jensen and Hermite-Hadamard inequalities for convex functions of several variables as general as possible. In this regard, we rely on the decomposition of a nonempty convex set C in the n-dimensional real space.
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Post Quantum Integral Inequalities of Hermite-Hadamard-Type Associated with Co-Ordinated Higher-Order Generalized Strongly Pre-Invex and Quasi-Pre-Invex Mappings [PDF]
, 2020 Humaira Kalsoom +6 more
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Fractal and FractionalThis paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali +3 more
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New Inequalities of Hermite-Hadamard Type for Functions whose Derivatives Absolute Values are Quasi-Convex [PDF]
, 2011 Çetin Yıldız +2 more
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Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
PLoS One, 2023 Guo J, Zhu X, Li W, Li H.
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On a problem of T. Szostok concerning the Hermite–Hadamard inequalities [PDF]
Journal of Mathematical Analysis and Applications, 2019 In the present paper we solve a problem posed by Tomasz Szostok who asked about the solutions $f$ and $F$ to the system of inequalities $$ f\Big(\frac{x+y}{2}\Big)\leq \frac{F(y)-F(x)}{y-x}\leq \frac{f(x)+f(y)}{2}. $$ We show that $f$ and $F$ are the solutions to the above system of inequalities if and only if $f$ is a continuous convex function and $F$
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On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes
Fractal and FractionalIn this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani +3 more
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On Hermite-Hadamard type inequalities associated with the generalized fractional integrals
, 2022 Fatma Ertuğral +2 more
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Hermite-Hadamard Type Inequalities for (α, m)- Convex Functions via Fractional Integrals [PDF]
, 2017 Erhan Set +3 more
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