A sequence of positive linear operators associated with an approximation process

DOI10.1016/J.AMC.2015.07.043zbMath1410.41027OpenAlexW1058811270MaRDI QIDQ668637

Octavian Agratini

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.043

zbMATH Keywords

modulus of smoothnessweighted spaceweighted approximationapproximation processMarkov type operator

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (2)

Approximation of functions by complex genuine Pólya-Durrmeyer operators ⋮ Quantitative estimates of Voronovskaya type in weighted spaces

Cites Work

• A generalization of Jain's operators
• A class of Markov type operators which preserve \(e_j\), \(j \geqslant 1\)
• On linear operators preserving the set of positive polynomials
• Theorems of Korovkin type
• On the generalized Szász-Mirakyan operators
• On Markov operators preserving polynomials
• The estimates of approximation by using a new type of weighted modulus of continuity
• A Generalization of the Poisson Distribution
• Generalization of Bernstein's polynomials to the infinite interval
• Discrete Approximation Processes of King’s Type
• Approximation of functions by a new class of linear operators
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