Results 11 to 20 of about 1,954,320 (272)
Generalized retarded integral inequalities [PDF]
Applied Mathematics Letters, 2009 We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no. 2, 265--275].
Ferreira, R.A.C., Torres, D.F.M.
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Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions [PDF]
Journal of Function Spaces, 2021 Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
A. Akdemi̇r +3 more
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Some integral inequalities via (p,q)-calculus on finite intervals
Filomat, 2021 The aim of this paper is to construct (p,q)-calculus on finite intervals. The (pk,qk)-derivative and (pk,qk)-integral are defined and some basic properties are given. Also, (pk,qk)-analogue of H?lder, Minkowski integral inequalities are proved.
Mevlut Tunc, E. Göv
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New types of general single/multiple integral inequalities
Journal of Inequalities and Applications, 2023 By introducing some concepts such as multiple integral inner product (MIIP) and multiple integral inner product space (MIIPS), new series of single/multiple integral inequalities are developed in a systematic way, which produce more accurate bounds on ...
Liansheng Zhang, Haosheng Meng
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Extensions of Gronwall-Bellman type integral inequalities with two independent variables
Open Mathematics, 2022 In this paper, we establish several kinds of integral inequalities in two independent variables, which improve well-known versions of Gronwall-Bellman inequalities and extend them to fractional integral form.
Xie Yihuai, Li Yueyang, Liu Zhenhai
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On Generalizations of Integral Inequalities
Issues of Analysis, 2022 In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve
BAYRAKTAR, BAHTİYAR +2 more
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Certain quantum estimates on the parameterized integral inequalities and their applications
Journal of Mathematical Inequalities, 2021 . The present paper aims to study the parameterized inequalities of Hadamard–Simpson type for quantum integrals. By employing a quantum integral identity of multi-parameter, we es-tablish novel inequalities for a class of q -differentiable mappings ...
T. Du, Chun an Luo, Bo Yu
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Differential Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
G. Rahman +4 more
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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 ...
Feng Qi (祁锋) +3 more
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