Results 11 to 20 of about 359 (228)

A Multilinear Young's Inequality

open access: yesCanadian Mathematical Bulletin, 1988
We prove an (n + l)-linear inequality which generalizes the classical bilinear inequality of Young concerning the LP norm of the convolution of two functions.
Daniel M. Oberlin
core   +3 more sources

The interpolation of Young’s inequality using dyadics [PDF]

open access: yesJournal of Inequalities and Applications, 2019
In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
doaj   +2 more sources

A new generalized refinements of Young’s inequality

open access: yesProyecciones (Antofagasta), 2021
In this paper, we show a new generalized refinement of Young's inequality. As applications we give some new generalized refinements of Young type inequalities for the traces, determinants, and norms of positive definite matrices.
Ighachane, Mohamed Amine   +1 more
core   +4 more sources

Characterization of the trace by young's inequality [PDF]

open access: yes, 2005
Let φ be a positive linear functional on the algebra of n × n complex matrices and p, q be positive numbers such that 1/p + 1/q = 1. We prove that if for any pair A, B of positive semi-definite n × n matrices the inequality φ(|AB|) ≤ φ/(Ap)/p + φ/(Bq)/q ...
Tikhonov O., Bikchentaev A.
core   +4 more sources

Sharpness in Young's Inequality for Convolution Products

open access: yesCanadian Journal of Mathematics, 1994
Suppose that Gis a locally compact group with modular function Δ and that p, q, r are three numbers in the interval (l,∞) satisfying. If cp,q(G) is the smallest constant c such thatfor all functions f, g ∈ Cc(G) (here the convolution product is with ...
Ole A. Nielsen
core   +3 more sources

Young and Inverse Young Inequalities on Euclidean Jordan Algebra

open access: yesAxioms
This paper mainly focuses on in-depth research on inequalities on symmetric cones. We will further analyze and discuss the inequalities we developed on the second-order cone and develop more inequalities.
Chien-Hao Huang
doaj   +2 more sources

A refinement of Young's inequality [PDF]

open access: yesActa Mathematica Hungarica, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kórus Péter
core   +2 more sources

On Young's Inequality

open access: yesThe American Mathematical Monthly, 1971
(1971). On Young's Inequality. The American Mathematical Monthly: Vol. 78, No. 7, pp. 781-783.
F. Cunningham, Nathaniel Grossman
core   +2 more sources

On a converse of Young’s inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
A converse of Young’s inequality is proved through the formulation of a functional inequality.
openaire   +1 more source

New Young Inequalities and Applications [PDF]

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2019
We establish upper bounds for the convolution operator acting between interpolation spaces. This gives new Young inequalities in the context of Lorentz–Karamata spaces, grand Lebesgue spaces and small Lebesgue spaces besides many other known results. Furthermore, we use this abstract Young inequality to prove a bilinear interpolation theorem for limit ...
Fernández-Martínez, Pedro   +1 more
openaire   +3 more sources

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