Towards the best constant in front of the Ditzian-Totik modulus of smoothness

DOI10.1186/S13660-016-1078-0zbMath1338.44001OpenAlexW2365539076WikidataQ59464060 ScholiaQ59464060MaRDI QIDQ289956

Alberto Lekuona, José A. Adell

Publication date: 1 June 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1078-0

zbMATH Keywords

positive linear operatordirect inequalitybest constantDitzian-Totik modulus of smoothnessSzàsz-Mirakyan operatorWeierstrass operator

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Laplace transform (44A10) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• The median of the Poisson distribution
• Estimates of positive linear operators in terms of second-order moduli
• Real inversion formulas with rates of convergence
• A strong converse inequality for gamma-type operators
• \(q\)-Bernstein-Schurer-Kantorovich operators
• Quantitative estimates for positive linear operators in terms of the usual second modulus
• The central approximation theorems for Baskakov-Bézier operators
• Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions
• Direct and converse results for q-Bernstein operators
• Strong converse inequalities
• Upper estimates in direct inequalities for Bernstein-type operators
• Lower estimates for centered Bernstein-type operators
• Strong converse inequalities

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