Total Positivity: an application to positive linear operators and to their limiting semigroups

Authors

  • Antonio Attalienti Department of Economics-University of Bari, Italy
  • Ioan Raşa Technical University of Cluj-Napoca, Romania

Keywords:

weak Tchebycheff systems, total positivity, positive linear operators, strongly continuous semigroups

Abstract

Some shape-preserving properties of positive linear operators, involving higher order convexity and Lipschitz classes, are investigated from the point of view of weak Tchebycheff systems and total positivity in the sense of Karlin [8]. The same properties are shown to be fulfilled by the strongly continuous semigroup \((T(t))_{t\geq 0}\), if any, generated by the iterates of the relevant operators, in the spirit of Altomare's theory.

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Published

2007-02-01

How to Cite

Attalienti, A., & Raşa, I. (2007). Total Positivity: an application to positive linear operators and to their limiting semigroups. Rev. Anal. Numér. ThéOr. Approx., 36(1), 51-66. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2007-vol36-no1-art5

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Articles