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An inequality for linear transformations [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
1. Statements of results. In this paper the following elementary inequality is proved and exploited. THEOREM 1. If L is a positive-definite hermitian transformation on the finite dimensional unitary space V and p > 1, then for arbitrary vectors u and v (I) f|Uff2 + (L-PV, V) > ((I + L)-Pu + v, U + v). From (1) we can conclude THEOREM 2.
openaire   +1 more source

Robust solutions to box-constrained stochastic linear variational inequality problem

open access: yesJournal of Inequalities and Applications, 2017
We present a new method for solving the box-constrained stochastic linear variational inequality problem with three special types of uncertainty sets.
Mei-Ju Luo, Yan Zhang
doaj   +1 more source

Unified discrete and integral Giaccardi inequalities under the isotonic linear functionals and their applications in different time scales

open access: yesJournal of Inequalities and Applications
This article introduces the Giaccardi inequality using isotonic linear functionals and h-convexity. This work includes both discrete and integral variants of this inequality. The important Petrović inequality is deduced as a special case.
Muhammad Samraiz   +3 more
doaj   +1 more source

Does the digital economy promote or inhibit income inequality?

open access: yesHeliyon
Digitalisation and technological developments are profoundly changing the socioeconomic structure of society and people's lifestyles, which may have a significant impact on the distribution of income among different groups of people. This study conducted
Li Tian, Yijun Xiang
doaj   +1 more source

The effectiveness of the linear hull effect

open access: yesJournal of Mathematical Cryptology, 2012
There is no linear hull effect in linear cryptanalysis.
Murphy Sean
doaj   +1 more source

Linear mixed effects models under inequality constraints with applications.

open access: yesPLoS ONE, 2014
Constraints arise naturally in many scientific experiments/studies such as in, epidemiology, biology, toxicology, etc. and often researchers ignore such information when analyzing their data and use standard methods such as the analysis of variance ...
Laura Farnan   +2 more
doaj   +1 more source

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