Further results for \(k\)th order Kantorovich modification of linking Baskakov type operators

DOI10.1007/s00025-015-0511-xzbMath1339.41030OpenAlexW2177196084MaRDI QIDQ287288

Katharina Baumann, Margareta Heilmann, Ioan Raşa

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-015-0511-x

zbMATH Keywords

momentsasymptotic resultsconvexity propertiesimages of monomialsKantorovich type modificationslimiting behaviorlinking Baskakov type operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by polynomials (41A10) Simultaneous approximation (41A28) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Related Items (8)

A Nice representation for a link between Baskakov- and Szász-Mirakjan-Durrmeyer operators and their Kantorovich variants ⋮ Quantitative Voronovskaya-type results for polynomially bounded functions ⋮ Convergence of linking Durrmeyer-type modifications of generalized Baskakov operators ⋮ A Nice Representation for a Link Between Bernstein-Durrmeyer and Kantorovich Operators ⋮ Discrete operators associated with linking operators ⋮ Higher order Kantorovich operators based on inverse Pólya-Eggenberger distribution ⋮ Convergence of linking Baskakov-type operators ⋮ Bounds for indices of coincidence and entropies

Cites Work

• On simultaneous approximation by modified Lupas operators
• An inversion formula for Laplace transforms and semi-groups of linear operators
• kth Order Kantorovich Modification of Linking Baskakov-Type Operators
• Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
• Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions
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