Results 11 to 20 of about 419 (175)
Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GG-convex function to derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Zhi Zhang, JinRong Wang, JianHua Deng
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Generalized proportional fractional integral Hermite–Hadamard’s inequalities [PDF]
Advances in Difference Equations, 2021 AbstractThe theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations. Fractional calculus has been found to be the best for modeling physical and engineering processes.
Tariq A. Aljaaidi +5 more
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On the Hermite-Hadamard Type Inequalities for Fractional Integral Operator [PDF]
Kragujevac Journal of Mathematics, 2020 Summary: In this paper, using a general class of fractional integral operators, we establish new fractional integral inequalities of Hermite-Hadamard type. The main results are used to derive Hermite-Hadamard type inequalities involving the familiar Riemann-Liouville fractional integral operators.
Yaldiz, H., Sarıkaya, Mehmet Zeki
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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
Abstract and Applied Analysis, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.
Weerawat Sudsutad +2 more
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On Hermite-Hadamard type inequalities for multiplicative fractional integrals [PDF]
Miskolc Mathematical Notes, 2020 In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving multiplicative fractional integrals.
Budak, H., Özcelik, K.
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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 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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Demonstratio 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
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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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Inequalities Pertaining Fractional Approach through Exponentially Convex Functions
Fractal and Fractional, 2019 In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid +2 more
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