LAUSR

On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations

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0 Published in 2017 at "Aequationes mathematicae"

DOI: 10.1007/s00010-017-0490-y

Abstract: The aim of the paper is to investigate the solutions of special inhomogeneous linear functional equations using spectral analysis in a translation invariant closed linear subspace of additive/multiadditive functions containing the restrictions of the solutions… read more here.

Keywords: inhomogeneous linear; functional equations; spectral analysis; linear functional ... See more keywords

Linear Functional Equations with 𝔇H-Unstable Solutions

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0 Published in 2021 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-021-05228-2

Abstract: We establish conditions for the absolute instability of solutions of linear functional equations with self-adjoint operator coefficients. read more here.

Keywords: equations unstable; unstable solutions; linear functional; solutions linear ... See more keywords

On the modifications of semi-classical orthogonal polynomials on nonuniform lattices

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0 Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.06.041

Abstract: Abstract Semi classical orthogonal polynomials on nonuniform lattices with respect to a linear functional L are defined as polynomials ( P n ) where the degree of P n is exactly n, the P n… read more here.

Keywords: nonuniform lattices; classical orthogonal; linear functional; semi classical ... See more keywords

HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

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0 Published in 2020 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972720000556

Abstract: Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem.… read more here.

Keywords: functional equations; equations several; linear functional; hyperstability ... See more keywords

A clustering approach to detect multiple outliers in linear functional relationship model for circular data

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1 Published in 2018 at "Journal of Applied Statistics"

DOI: 10.1080/02664763.2017.1342779

Abstract: ABSTRACT Outlier detection has been used extensively in data analysis to detect anomalous observation in data. It has important applications such as in fraud detection and robust analysis, among others. In this paper, we propose… read more here.

Keywords: multiple outliers; functional relationship; linear functional; model ... See more keywords

Multidimensional linear functional estimation in sparse Gaussian models and robust estimation of the mean

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0 Published in 2019 at "Electronic Journal of Statistics"

DOI: 10.1214/19-ejs1590

Abstract: We consider two problems of estimation in high-dimensional Gaussian models. The first problem is that of estimating a linear functional of the means of n independent p-dimensional Gaussian vectors, under the assumption that at most… read more here.

Keywords: robust estimation; estimation; group; linear functional ... See more keywords