Positivity of linear transformations of mean-starshaped sequences

Chikkanna R. Selvaraj; Suguna Selvaraj

doi:10.1007/s11117-015-0386-9

Positivity of linear transformations of mean-starshaped sequences

Chikkanna R. Selvaraj, Suguna Selvaraj

Penn State Shenango

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we give the necessary and sufficient conditions for a linear transformation of a mean-starshaped sequence to be positive. Using this result, we obtain the necessary and sufficient conditions for a lower triangular matrix to preserve the mean-starshape of a sequence and we discuss some special cases of linear transformations. Our next result deals with the convergence of a sequence of mean-starshaped sequences to any given mean-starshaped sequence and the positivity of a linear operator on the set of mean-starshaped sequences.

Original language	English (US)
Pages (from-to)	805-822
Number of pages	18
Journal	Positivity
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/s11117-015-0386-9
State	Published - Dec 1 2016

All Science Journal Classification (ASJC) codes

Analysis
Theoretical Computer Science
General Mathematics

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Positivity of linear transformations of mean-starshaped sequences

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