Results 21 to 30 of about 419 (175)

Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals

Journal of Inequalities and Applications, 2021
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You, Muhammad Aamir Ali, Hüseyin Budak, Praveen Agarwal, Yu-Ming Chu   +4 more
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New general Grüss-type inequalities over σ-finite measure space with applications

Advances in Difference Equations, 2020
In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal, Muhammad Adil Khan, Thabet Abdeljawad, Muhammad Samraiz, Gauhar Rahman, Kottakkaran Sooppy Nisar   +5 more
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On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator

Axioms, 2022
The main objective of this paper is to use the generalized proportional Hadamard fractional integral operator to establish some new fractional integral inequalities for extended Chebyshev functionals. In addition, we investigate some fractional integral inequalities for positive continuous functions by employing a generalized proportional Hadamard ...
Vaijanath L. Chinchane, Asha B. Nale, Satish K. Panchal, Christophe Chesneau, Amol D. Khandagale   +4 more
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Inequalities for B $\mathbb{B}$-convex functions via generalized fractional integral

Journal of Inequalities and Applications, 2019
Recently, fractional calculus has become a very popular and important area. Specially, fractional integral inequalities have been studied by different authors.
Ilknur Yesilce
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Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions

Journal of Function Spaces, 2022
In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon, Muhammad Aamir Ali, Hüseyin Budak, Pinar Kösem, Kamsing Nonlaopon, Thanin Sitthiwirattham   +5 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, Abdullah Akkurt, Hüseyin Budak, Merve Esra Yıldırım, Hüseyin Yıldırım   +4 more
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Certain new proportional and Hadamard proportional fractional integral inequalities

Journal of Inequalities and Applications, 2021
The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +2 more
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Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives [PDF]

Kragujevac Journal of Mathematics, 2021
In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE’s) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder’s fixed point theorem.
Karthikeyan, P., Arul, R.
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

Open Mathematics, 2020
The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng, Mohammed Pshtiwan Othman, Zeng Huidan   +2 more
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Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions. [PDF]

J Inequal Appl, 2018
Dans cet article, nous prouvons les inégalités de Hadamard et de Fejér-Hadamard pour l'opérateur intégral fractionnaire généralisé étendu impliquant la fonction de Mittag-Leffler généralisée étendue. La fonction généralisée étendue de Mittag-Leffler comprend de nombreuses fonctions spéciales connues. Nous avons plusieurs de ces inégalités correspondant
Kang SM, Farid G, Nazeer W, Tariq B.
europepmc   +6 more sources