On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
AIMS Mathematics, 2021 The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard ...
Thabet Abdeljawad +3 more
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k -Fractional Variants of Hermite-Mercer-Type Inequalities via s-Convexity with Applications
Journal of Function Spaces, 2021 This article is aimed at studying novel generalizations of Hermite-Mercer-type inequalities within the Riemann-Liouville k-fractional integral operators by employing s-convex functions. Two new auxiliary results are derived to govern the novel fractional
Saad Ihsan Butt +3 more
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Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications [PDF]
Fractal and FractionalThe purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir +3 more
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Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings [PDF]
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
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New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes [PDF]
Journal of Inequalities and Applications, 2023 In this investigation, we unfold the Jensen–Mercer ( J − M $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator.
Fahd Jarad +5 more
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Demonstratio MathematicaThis article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe +4 more
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AIMS Mathematics, 2022 In this paper, we have established some new Hermite–Hadamard–Mercer type of inequalities by using κ–Riemann–Liouville fractional integrals. Moreover, we have derived two new integral identities as auxiliary results.
Miguel Vivas-Cortez +5 more
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Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators [PDF]
Fractal and Fractional, 2021 The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using Raina’s fractional integral operators. We present some distinct and novel fractional Hermite–Hadamard–Mercer-type inequalities for the functions whose absolute value
Erhan Set +3 more
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Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications [PDF]
AxiomsIn this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice ...
Muhammad Aamir Ali +3 more
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A version of Hermite-Hadamard-Mercer inequality and associated results
Ain Shams Engineering JournalOver the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang +5 more
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