Results 11 to 20 of about 1,483,475 (271)
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
doaj +2 more sources
Inequalities for a Weighted Integral [PDF]
, 1999 In the article, along with the procedure generalizing the mean value theorems for derivative from Rolle to Taylor, we generalize the Iyengar inequality for an integral to obtain some inequalities for weighted integrals involving bounded derivative of the
Qi, Feng
core +6 more sources
Inequalities for a Weighted Multiple Integral [PDF]
, 1999 In the article, using Taylor's formula for functions of several variables, the author establishes some inequalities for the weighted multiple integral of a function defined on an m-dimensional rectangle, if its partial derivatives of (n + 1)-th order ...
Qi, Feng
core +6 more sources
On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]
, 2009 In this note we establish some Hermite-Hadamard type inequalities involving two functions.
Özdemir, M. Emin +2 more
core +8 more sources
Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]
, 2005 Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
core +6 more sources
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
doaj +1 more source
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
openaire +4 more sources
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
doaj +1 more source
The Perturbed Median Principle for Integral Inequalities with Applications [PDF]
, 2009 In this paper a perturbed version of the Median Principle introduced by the author in 'The median principle for inequalities and applications' is developed.
Dragomir, Sever S
core +7 more sources
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
doaj +1 more source