Minkowski’s inequality for the AB-fractional integral operator
Journal of Inequalities and Applications, 2019 Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
Hasib Khan +4 more
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Borell's generalized Prékopa-Leindler inequality: A simple proof [PDF]
arXiv, 2015 We present a simple proof of Christer Borell's general inequality in the Brunn-Minkowski theory. We then discuss applications of Borell's inequality to the log-Brunn-Minkowski inequality of B\"or\"oczky, Lutwak, Yang and Zhang.
arxiv
Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in $\R^3$ [PDF]
arXiv, 2011 By using Minkowski addition of convex functions, we prove convexity and rearrangement properties of solutions to some Hessian equations in $\R^3$ and Brunn-Minkowski and isoperimetric inequalities for related functionals.
arxiv
Differential inequalities for Minkowski functionals of level sets [PDF]
, 1992 Giuseppe Chiti, Marco Longinetti
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q-Non uniform difference calculus and classical integral inequalities
Journal of Inequalities and Applications, 2019 We first establish q-non uniform difference versions of the integral inequalities of Hölder, Cauchy–Schwarz, and Minkowski of classical mathematical analysis and then integral inequalities of Grönwall and Bernoulli based on the Lagrange method of linear ...
Gaspard Bangerezako +2 more
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Generalized Norms Inequalities for Absolute Value Operators
International Journal of Analysis and Applications, 2014 In this article, we generalize some norms inequalities for sums, differences, and products of absolute value operators. Our results based on Minkowski type inequalities and generalized forms of the Cauchy-Schwarz inequality.
Ilyas Ali, Hu Yang, Abdul Shakoor
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The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models [PDF]
arXiv, 2019 The traditional Minkowski distances are induced by the corresponding Minkowski norms in real-valued vector spaces. In this work, we propose novel statistical symmetric distances based on the Minkowski's inequality for probability densities belonging to Lebesgue spaces. These statistical Minkowski distances admit closed-form formula for Gaussian mixture
arxiv
On mixed Hölder-Minkowski inequalities and total convexity of certain functions in ℒ^p(Ω) [PDF]
, 2000 Carlos A. Isnard, Alfredo N. Iusem
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Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]
arXiv, 2012 In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.
arxiv
A Brunn-Minkowski inequality for the integer lattice [PDF]
, 2001 Richard J. Gardner, Paolo Gronchi
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