Generalized Fractional Integral Inequalities of σ‐Convex Functions
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
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Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
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Some Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions [PDF]
, 2022 Gabriel Santana, Maira Valera
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A general multidimensional Hermite–Hadamard type inequality
Journal of Mathematical Analysis and Applications, 2009 The classical Hermite-Hadamard inequality states that for a real convex function \(f\) on an interval \([a,b]\), \[ f\biggl({a+b\over2}\biggr)\leq{1\over b-a}\int_a^b f(x)dx\leq{f(a)+f(b)\over2}. \] This may be expressed in probabilistic terms in the form \[ f(E\xi)\leq Ef(\xi)\leq Ef(\xi^*), f\in C_{cx},\eqno(1) \] where \(E\) denotes expected value, \
de la Cal, Jesús +2 more
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On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions
, 2010 We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well.
E. Set, M. Özdemir, S. Dragomir
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New Estimates for Exponentially Convex Functions via Conformable Fractional Operator
Fractal and Fractional, 2019 In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity.
Saima Rashid +2 more
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On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel [PDF]
, 2021 Havva Kavurmacı Önalan +3 more
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Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
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On weighted generalization of the Hermite-Hadamard inequality
, 2015 The results obtained in this paper are a correction of the main results obtained in [14], for which we also give an alternative proof and improvement. We also study some new monotonic conditions under which various generalizations of the Hermite-Hadamard
R. Jaksic +2 more
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On Certain Integral Inequalities Related to Hermite–Hadamard Inequalities
Journal of Mathematical Analysis and Applications, 1999 The authors establish some new Hermite-Hadamard inequalities for real convex functions on \([a,b]\), generalizing known results of this type.
Yang, Gou-Sheng, Tseng, Kuei-Lin
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