Results 21 to 30 of about 1,878,882 (378)
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
openaire +3 more sources
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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Performance analysis of control allocation using data‐driven integral quadratic constraints
Advanced Control for Applications, Volume 4, Issue 4, December 2022., 2022 Abstract A new method is presented for evaluating the performance of a nonlinear control allocation system within a linear control loop. To that end, a worst‐case gain analysis problem is formulated that can be readily solved by means of well‐established methods from robustness analysis using integral quadratic constraints (IQCs).
Manuel Pusch +2 more
wiley +1 more source
Local Fractional Integral Hölder-Type Inequalities and Some Related Results
Fractal and Fractional, 2022 This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen +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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Advanced Engineering Materials, EarlyView., 2023 A numerical scheme is presented to design a lattice support for metallic components additively built via laser powder bed fusion. Results show that thermal‐induced distortion can be respectively reduced by 69%, 58%, and 50% in comparison to a uniform lattice, a fully solid support, and a truss‐based lattice support.
Jiazheng Hu +2 more
wiley +1 more source