Generalized Kantorovich Operators on Bauer Simplices and Their Limit Semigroups. (3rd June 2017)
- Record Type:
- Journal Article
- Title:
- Generalized Kantorovich Operators on Bauer Simplices and Their Limit Semigroups. (3rd June 2017)
- Main Title:
- Generalized Kantorovich Operators on Bauer Simplices and Their Limit Semigroups
- Authors:
- Cappelletti-Montano, Mirella
Leonessa, Vita - Abstract:
- ABSTRACT: In this paper, we prove an asymptotic formula for generalized Kantorovich operators associated with the canonical Markov projection on a given Bauer simplex K . That formula involves an operator acting on the subalgebra of all products of affine functions on K . Moreover, we prove that such an operator is closable and its closure is the generator of a Markov semigroup which, in turn, may be represented in terms of iterates of the above-mentioned generalized Kantorovich operators.
- Is Part Of:
- Numerical functional analysis and optimization. Volume 38:Number 6(2017)
- Journal:
- Numerical functional analysis and optimization
- Issue:
- Volume 38:Number 6(2017)
- Issue Display:
- Volume 38, Issue 6 (2017)
- Year:
- 2017
- Volume:
- 38
- Issue:
- 6
- Issue Sort Value:
- 2017-0038-0006-0000
- Page Start:
- 723
- Page End:
- 737
- Publication Date:
- 2017-06-03
- Subjects:
- Approximation of semigroup -- Bauer simplex -- Bernstein–Schnabl operator -- Canonical Markov projection -- Kantorovich operator -- Markov semigroup -- Positive approximation process
41A36 -- 47D07 -- 31A10
Functional analysis -- Periodicals
Numerical analysis -- Periodicals
Mathematical optimization -- Periodicals
Numerical Analysis, Computer-Assisted
515.705 - Journal URLs:
- http://www.tandfonline.com/toc/lnfa20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/01630563.2017.1281825 ↗
- Languages:
- English
- ISSNs:
- 0163-0563
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6184.692000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 372.xml