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HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS
Journal of Applied Analysis & Computation, 2023 Summary: In the paper, basing on the Katugampola fractional integrals \({}^\rho\mathcal{K}^\alpha_{a+}f\) and \({}^\rho\mathcal{K}^\alpha_{b-}f\) with \(f\in\mathfrak{X}_c^p(a, b) \), the authors establish the Hermite-Hadamard type inequalities for convex functions, give their left estimates, and apply these newly-established inequalities to special ...
Wang, Shu-Hong, Hai, Xu-Ran
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Fractional Hadamard and Fej´er-Hadamard inequalities for exponentially m-convex function [PDF]
, 2021 Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fej´er-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler
MEHMOOD, Sajid, FARID, Ghulam
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On Some Hermite–Hadamard Inequalities for Fractional Integrals and their Applications
Ukrainian Mathematical Journal, 2020 UDC 517.5 We establish some new extensions of Hermite\,--\,Hadamard inequality for fractional integrals and present several applications for the Beta function.
Hwang, Shiow-Ru +2 more
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Hermite-Hadamard-Mercer type inequalities for fractional integrals
Filomat, 2021 In the present note, we proved Hermite-Hadamard-Mercer inequalities for fractional integrals and we established some new fractional inequalities connected with the right and left-sides of Hermite-Hadamard-Mercer type inequalities for differentiable mappings whose derivatives in absolute value are convex.
Öğülmüş, Hatice +1 more
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Investigation of a Coupled System of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Hadamard Fractional Integral Boundary Conditions [PDF]
, 2023 We investigate the existence criteria for solutions of a nonlinear coupled system of Hilfer–Hadamard fractional differential equations of different orders complemented with nonlocal coupled Hadamard fractional integral boundary conditions.
Bashir Ahmad, Shorog Aljoudi
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Fractal and Fractional, 2019 The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid +3 more
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On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
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Demonstratio Mathematica, 2023 Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +3 more
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Hermite-Hadamard's inequalities for conformable fractional integrals
An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2019 In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier
Mehmet Zeki Sarıkaya +4 more
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Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals
Journal of Mathematical Analysis and Applications, 2017 Accepted Manuscript. 14 pages, Journal of Mathematical Analysis and Applications (2016)
Chen, Hua, Katugampola, Udita N.
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