A Nice representation for a link between Baskakov- and Szász-Mirakjan-Durrmeyer operators and their Kantorovich variants

DOI10.1007/S00025-018-0932-4zbMath1404.41007arXiv1809.05661OpenAlexW2890254386MaRDI QIDQ1633397

Margareta Heilmann, Ioan Raşa

Publication date: 19 December 2018

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

Full work available at URL: https://arxiv.org/abs/1809.05661

zbMATH Keywords

Baskakov-Durrmeyer type operatorsKantorovich modifications of operatorslinking operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Related Items (9)

On approximation properties of a new construction of Baskakov operators ⋮ On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces ⋮ Poisson approximation to the binomial distribution: extensions to the convergence of positive operators ⋮ Convergence of linking Durrmeyer-type modifications of generalized Baskakov operators ⋮ Szász-Mirakjan-Kantorovich operators reproducing affine functions ⋮ Discrete operators associated with linking operators ⋮ On the \(q\)-monotonicity preservation of Durrmeyer-type operators ⋮ A note on the general family of operators preserving linear functions ⋮ Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces

Cites Work

• Further results for \(k\)th order Kantorovich modification of linking Baskakov type operators
• The eigenstructure of operators linking the Bernstein and the genuine Bernstein-Durrmeyer operators
• An inversion formula for Laplace transforms and semi-groups of linear operators
• kth Order Kantorovich Modification of Linking Baskakov-Type Operators
• Lagrange-type operators associated with Uan
• 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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