Results 21 to 30 of about 4,892 (236)
Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals
Journal of Mathematical Analysis and Applications, 2017 In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej r type inequalities for fractional integrals which generalize the two familiar fractional integrals namely, the Riemann-Liouville and the Hadamard fractional integrals into a single form.
Chen, Hua, Katugampola, Udita N.
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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.
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Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals [PDF]
Journal of Function Spaces, 2018 We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Muhammad Adil Khan +3 more
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Hermite-Hadamard type inequalities for fractional integrals via Green's function. [PDF]
J Inequal Appl, 2018 في المقالة، نحدد متباينات نوع هيرميت- هادامارد الكسرية اليسرى من ريمان- ليوفيل ومتباينات نوع هيرميت- هادامارد المعممة باستخدام دالة غرين ومتباينات جنسن، ونقدم العديد من المتباينات الجديدة من نوع هيرميت- هادامارد لفئة من الوظائف المحدبة وكذلك الرتيبة.
Adil Khan M, Iqbal A, Suleman M, Chu YM.
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Mathematics, 2019 In this paper, we establish three fundamental integral identities by the first- and second-order derivatives for a given function via the fractional integrals with exponential kernel.
Xia Wu, JinRong Wang, Jialu Zhang
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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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Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2023 We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard
Hasan Kara, Samet Erden, Huseyin Budak
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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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Fractal and Fractional, 2021 Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Ghulam Farid +2 more
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Certain Hadamard Proportional Fractional Integral Inequalities [PDF]
Mathematics, 2020 In this present paper we study the non-local Hadmard proportional integrals recently proposed by Rahman et al. (Advances in Difference Equations, (2019) 2019:454) which containing exponential functions in their kernels. Then we establish certain new weighted fractional integral inequalities involving a family of n ( n ∈ N ) positive functions ...
Gauhar Rahman +2 more
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