Results 11 to 20 of about 1,540,266 (274)
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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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
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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
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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
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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
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On a system of integral inequalities [PDF]
Proceedings of the American Mathematical Society, 1970 The present note obtains a vector extension and a further generalization of Bihari’s Lemma on an integral inequality. The inequality proved can be used in the study of the componentwise behaviour of solutions of differential systems.
Deo, S. G., Murdeshwar, M. G.
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Journal of Inequalities and Applications, 2020 In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontinuities are of non-Lipschitz type.
Lihong Xing, Donghua Qiu, Zhaowen Zheng
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Mathematical Inequalities & Applications, 2001 Let \((X,{\mathcal A},\mu)\) be a measure space, and let \(S:X\to {\mathcal A}\) be a function of type (C), i.e., \(S\) satisfies the following three conditions: C1) \(x\notin S(x)\) for every \(x\in X;\) C2) if \(y\in S(x),\) then \(S(y)\subset S(x);\) C3) \(\{ (x,y)\); \(y\in S(x)\} \) is \( \mu \times \mu \) measurable.
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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