Results 1 to 10 of about 623,284 (221)

On Minkowski's inequality and its application [PDF]

open access: goldJournal of Inequalities and Applications, 2011
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
doaj   +6 more sources

A Converse of Minkowski's Type Inequalities [PDF]

open access: goldJournal of Inequalities and Applications, 2010
We formulate and prove a converse for a generalization of the classical Minkowski's inequality. The case when is also considered. Applying the same technique, we obtain an analog converse theorem for integral Minkowski's type inequality.
Kalaj David, Meštrović Romeo
doaj   +4 more sources

Minkowski’s inequality and sums of squares [PDF]

open access: yesOpen Mathematics, 2014
Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Frenkel Péter, Horváth Péter
doaj   +6 more sources

Real interpolation for mixed Lorentz spaces and~Minkowski's inequality [PDF]

open access: greenZeitschrift für Analysis und ihre Anwendungen, 2023
We prove embeddings and identities for real interpolation spaces between mixed Lorentz spaces. This partly relies on Minkowski's (reverse) integral inequality in Lorentz spaces $L^{p,r}(X)$ under optimal assumptions on the exponents $(p,r)\in (0,\infty ...
Rainer Mandel
semanticscholar   +4 more sources

A generalization of Minkowski’s inequality by Hahn integral operator

open access: yesJournal of Taibah University for Science, 2018
In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan   +4 more
doaj   +2 more sources

The Minkowski’s inequality by means of a generalized fractional integral [PDF]

open access: yesAIMS Mathematics, 2018
We use the definition of a fractional integral, recently proposed by Katugampola, to establisha generalization of the reverse Minkowski’s inequality. We show two new theorems associatedwith this inequality, as well as state and show other inequalities ...
J. Vanterler da C. Sousa   +1 more
doaj   +2 more sources

NEW GENERALIZATION OF REVERSE MINKOWSKI’S INEQUALITY FOR FRACTIONAL INTEGRAL

open access: diamondAdvances in the Theory of Nonlinear Analysis and its Application, 2020
In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions.
Tariq A. Aljaaidi, D. Pachpatte
semanticscholar   +3 more sources

Minkowski’s inequality for the AB-fractional integral operator

open access: yesJournal 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
doaj   +2 more sources

An Information-Theoretic Proof of a Hypercontractive Inequality [PDF]

open access: yesEntropy
The famous hypercontractive estimate discovered independently by Gross, Bonami and Beckner has had a great impact on combinatorics and theoretical computer science since it was first used in this setting in a seminal paper by Kahn, Kalai and Linial.
Ehud Friedgut
doaj   +2 more sources

Novel versions of Hölder's-Like and related inequalities with newly defined LP space, and their applications over fuzzy domain [PDF]

open access: yesHeliyon
It is widely recognized that fuzzy number theory relies on the characteristic function. However, within the fuzzy realm, the characteristic function transforms into a membership function contingent upon the interval [0,1].
Xiangting Shi   +4 more
doaj   +2 more sources

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