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Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions [PDF]
Journal of Inequalities and Applications, 2018 Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and ...
Zhaowen Zheng, Yingjie Zhang, Jing Shao
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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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On Generalizations of Integral Inequalities
Issues of Analysis, 2022 Summary: 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.
BAYRAKTAR, BAHTİYAR +2 more
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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 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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Fractal 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
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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
Advances in Difference Equations, 2020 We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen +5 more
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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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Fractal and Fractional, 2021 Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo ...
Miguel Vivas-Cortez +4 more
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Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator
Journal of Inequalities and Applications, 2020 The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq +5 more
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