On the rate of convergence of the generalized Szász type operators for functions of bounded variation

DOI10.1006/jmaa.1998.6063zbMath0915.41016OpenAlexW2078138696MaRDI QIDQ1272869

Xiao-Ming Zeng

Publication date: 21 June 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6063

zbMATH Keywords

rate of convergenceapproximation by positive linear operatorsSzász-Mirakyan operatorbernstein polynomialsmodifications of Szász-Mirakyan operatorsSzász-Bézier operator

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

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Cites Work

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• On the rate of convergence of the Szász-Mirakyan operator for functions of bounded variation
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• On the rate of convergence of some operators on functions of bounded variation
• Generalization of Bernstein's polynomials to the infinite interval