Estimates for the semigroup associated with Bernstein operators

Let \((T(t))_{t\ge 0}\) be the semigroup associated with the classical Bernstein operators. We present some quantitative results concerning the behavior of \(T(t)\) as \(t\to 0\),respectively \(t\to \infty \).

Bibliographic Details
Main Author: Ioan Raşa
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2004-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/783
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author Ioan Raşa
author_facet Ioan Raşa
author_sort Ioan Raşa
collection DOAJ
description Let \((T(t))_{t\ge 0}\) be the semigroup associated with the classical Bernstein operators. We present some quantitative results concerning the behavior of \(T(t)\) as \(t\to 0\),respectively \(t\to \infty \).
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2501-059X
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spelling doaj.art-e59b2223126242759aef19b97cd342672022-12-22T03:43:00ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2004-08-01332Estimates for the semigroup associated with Bernstein operatorsIoan Raşa0Technical University of Cluj-Napoca, RomaniaLet \((T(t))_{t\ge 0}\) be the semigroup associated with the classical Bernstein operators. We present some quantitative results concerning the behavior of \(T(t)\) as \(t\to 0\),respectively \(t\to \infty \).https://www.ictp.acad.ro/jnaat/journal/article/view/783Bernstein operatorspositive semigroups
spellingShingle Ioan Raşa
Estimates for the semigroup associated with Bernstein operators
Journal of Numerical Analysis and Approximation Theory
Bernstein operators
positive semigroups
title Estimates for the semigroup associated with Bernstein operators
title_full Estimates for the semigroup associated with Bernstein operators
title_fullStr Estimates for the semigroup associated with Bernstein operators
title_full_unstemmed Estimates for the semigroup associated with Bernstein operators
title_short Estimates for the semigroup associated with Bernstein operators
title_sort estimates for the semigroup associated with bernstein operators
topic Bernstein operators
positive semigroups
url https://www.ictp.acad.ro/jnaat/journal/article/view/783
work_keys_str_mv AT ioanrasa estimatesforthesemigroupassociatedwithbernsteinoperators