Approximation with arbitrary order by certain linear positive operators

DOI10.1007/S11117-018-0570-9zbMath1401.41016OpenAlexW2793580150WikidataQ130191168 ScholiaQ130191168MaRDI QIDQ1624062

Octavian Agratini

Publication date: 15 November 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-018-0570-9

zbMATH Keywords

order of approximationmodulus of continuityKorovkin theoremlinear and positive operatorVoronovskaya type theorems

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (2)

Approximation by generalized Baskakov Kantorovich operators of arbitrary order ⋮ Approximation with arbitrary order by Baskakov-type operators preserving exponential functions

Cites Work

• Asymptotic behaviour of Jain operators
• General form of Voronovskaja's theorem in terms of weighted modulus of continuity
• Quantitative Voronovskaya-type results for polynomially bounded functions
• Approximation with an arbitrary order by modified Baskakov type operators
• On approximation of continuous and of analytic functions
• Quantitative estimates for Jain-Kantorovich operators
• Generalization of Bernstein's polynomials to the infinite interval
• Approximation by complex modified Szász-Mirakjan operators
• Approximation with an arbitrary order by generalized Kantorovich-type and Durrmeyer-type operators on [0;+\infinit)
• Approximation properties of generalized Jain operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• Approximation of functions by a new class of linear operators
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