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Fractional Integral Inequalities for Some Convex Functions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions.
B.R. Bayraktar, A.Kh. Attaev
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Weighted Cebysev Type Inequalities for Double Integrals and Application [PDF]
Sahand Communications in Mathematical Analysis, 2021 The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type ...
Asif Khan, Hira Nasir, Syed Shirazi
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On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales
Axioms, 2022 In the present paper, we prove some new reverse type dynamic inequalities on T. Our main inequalities are proved by using the chain rule and Fubini’s theorem on time scales T. Our results extend some existing results in the literature.
Ahmed A. El-Deeb, Clemente Cesarano
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Fractal and Fractional, 2021 In this manuscript, we study the unified integrals recently defined by Rahman et al. and present some new double generalized weighted type fractional integral inequalities associated with increasing, positive, monotone and measurable function F. Also, we
Gauhar Rahman +3 more
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Axioms, 2022 In this paper, we extend some Steffensen-type inequalities to time scales by using the diamond-α-dynamic integral. Further, we prove some new Steffensen-type inequalities for convex functions utilizing positive σ-finite measures in time scale calculus ...
Ksenija Smoljak Kalamir
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Certain Hadamard Proportional Fractional Integral Inequalities
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.
Gauhar Rahman +2 more
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Refined Wirtinger-type integral inequality
Journal of Inequalities and Applications, 2018 Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper.
Liansheng Zhang, Shuxia Wang
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Improved Integral Inequalities for Stability Analysis of Interval Time-Delay Systems
Algorithms, 2017 A novel stability analysis for the interval time-delay systems is proposed by employing a new series of integral inequalities for single and double integrals.
Shuai Zhang, Xiao Qi
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Delay dynamic double integral inequalities on time scales with applications
Advances in Difference Equations, 2020 In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–Bellman type integral inequalities on time scales, which are the unification of continuous and discrete results.
Sobia Rafeeq +4 more
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Journal of Inequalities and Applications, 2019 This paper investigates the new stability criteria for the asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities.
Wei Zheng +5 more
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