Shape preserving properties of some positive linear operators on unbounded intervals

DOI10.1006/jath.1997.3134zbMath0921.47035OpenAlexW2007311080MaRDI QIDQ1266118

Ingrid Carbone

Publication date: 30 September 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1997.3134

zbMATH Keywords

monotonicityconvexityspaces of continuous functionsHölder continuitypositive averaging operatorsregularity of semigroups

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65)

Related Items (5)

Preservation properties of the Baskakov-Kantorovich operators ⋮ Degenerate differential equations and modified Szász-Mirakjan operators ⋮ On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups ⋮ Shape-preserving properties and asymptotic behaviour of the semigroup generated by the Black-Scholes operator ⋮ On preservation of binomial operators

Cites Work

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• Lipschitz constants for some approximation operators of a Lipschitz continuous function
• Korovkin-type approximation theory and its applications
• On some degenerate differential operators on weighted function spaces
• Some probabilistic methods in the theory of approximation operators
• Real Analysis and Probability

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