Results 41 to 50 of about 2,167,123 (372)
Differential and integral inequalities [PDF]
Proceedings of the American Mathematical Society, 1964 RAYMOND M. REDHEFFER This note presents new proofs for some important inequalities [l]. The assumptions on positivity or monotony of the various functions are weaker than those in [l] or in the original references (see [l]) and yet the method seems astonishingly elementary. We set u' = du/dt, and ?2^0; the reversal of inequalities for ? 0. Then (1) Tu ^
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On a Hilbert-type integral inequality with non-homogeneous kernel of mixed hyperbolic functions
Journal of Mathematical Inequalities, 2019 . In this paper, by constructing a new non-homogeneous kernel of mixed hyperbolic functions, we establish a new Hilbert-type integral inequality with the best constant factor. We also consider the equivalent form of the obtained inequality.
Minghui You, Yue Guan
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Log canonical threshold and diagonal ideals [PDF]
, 2016 We characterize the ideals $I$ of $\mathcal O_n$ of finite colength whose integral closure is equal to the integral closure of an ideal generated by pure monomials.
Bivià-Ausina, Carles
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An equivalent form of Young's inequality with upper bound
, 2008 Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new formulation ...
E. Minguzzi, E. Minguzzi
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Journal of Function Spaces, 2018 By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained.
Dong-mei Xin, Bicheng Yang, Aizhen Wang
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Conformable integral version of Hermite-Hadamard-Fejér inequalities via η-convex functions
AIMS Mathematics, 2020 The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex ...
Yousaf Khurshid +2 more
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On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense
AIMS Mathematics, 2023 By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality.
Mohammed S. El-Khatib +4 more
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A sharp interpolation between the H\"older and Gaussian Young inequalities [PDF]
, 2015 We prove a very general sharp inequality of the H\"older--Young--type for functions defined on infinite dimensional Gaussian spaces. We begin by considering a family of commutative products for functions which interpolates between the point--wise and ...
Da Pelo, Paolo +2 more
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Arthritis Care &Research, Accepted Article.Objective We conducted formative research aimed at identifying solutions that address inequitable health outcomes in lupus due to adverse social determinants of health. Methods We conducted a search for keywords which provided insights into potential solutions and initiatives underway. An advisory panel of lupus experts iteratively reviewed the list of
Joy Buie +11 more
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AxiomsHilbert integral inequalities are beautiful inequalities with a symmetric structure, and have attracted much attention because of their important applications in the study of integral operators, and the Hilbert-type integral inequality involving variable
Qian Zhao, Yong Hong, Bing He
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