Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy [PDF]
Entropy, 2022 Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional ...
Vasily E. Tarasov
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Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions [PDF]
Journal of Mathematics, 2021 This article deals with Hadamard inequalities for strongly s,m-convex functions using generalized Riemann–Liouville fractional integrals. Several generalized fractional versions of the Hadamard inequality are presented; we also provide refinements of ...
Chao Miao +3 more
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HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS
Journal of Applied Analysis & Computation, 2022 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 ...
Shuhong Wang, Xu-Ran Hai
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On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]
HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
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Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals [PDF]
Mathematics, 2019 In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood +2 more
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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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Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities
Mathematical and Computer Modelling, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarıkaya, Mehmet Zeki +3 more
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Современная математика: Фундаментальные направления, 2022 In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm.
M. U. Yakhshiboyev
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Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals [PDF]
Journal of Inequalities and Applications, 2017 Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal +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.
Hüseyin Budak, Kubilay Özçelik
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