Results 11 to 20 of about 1,700,875 (356)

Certain quantum estimates on the parameterized integral inequalities and their applications

open access: yesJournal 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
semanticscholar   +1 more source

New types of general single/multiple integral inequalities

open access: yesJournal 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
doaj   +1 more source

Fractional (p, q)-Calculus on Finite Intervals and Some Integral Inequalities

open access: yesSymmetry, 2021
Fractional q-calculus has been investigated and applied in a variety of fields in mathematical areas including fractional q-integral inequalities. In this paper, we study fractional (p,q)-calculus on finite intervals and give some basic properties.
Pheak Neang   +3 more
semanticscholar   +1 more source

On the weighted fractional integral inequalities for Chebyshev functionals

open access: yesAdvances 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
semanticscholar   +1 more source

Extensions of Gronwall-Bellman type integral inequalities with two independent variables

open access: yesOpen 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
doaj   +1 more source

On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

open access: yesAxioms, 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
doaj   +1 more source

General Raina fractional integral inequalities on coordinates of convex functions

open access: yes, 2021
Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In this study, authors have established some generalized Raina fractional integral inequalities using ...
D. Baleanu   +3 more
semanticscholar   +1 more source

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

open access: yesFractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom   +3 more
doaj   +1 more source

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

open access: yesOpen 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
semanticscholar   +1 more source

Local Fractional Integral Hölder-Type Inequalities and Some Related Results

open access: yesFractal 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
doaj   +1 more source

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