An improvement of the constant in Videnskiĭ's inequality for Bernstein polynomials

DOI10.1515/gmj-2017-0065zbMath1437.41008OpenAlexW2944823647WikidataQ115600842 ScholiaQ115600842MaRDI QIDQ1986046

Ulrich Abel, Hartmut Siebert

Publication date: 7 April 2020

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2017-0065

zbMATH Keywords

rate of convergencedegree of approximationapproximation by positive operators

Mathematics Subject Classification ID

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

Related Items (3)

Fractional Bernstein operational matrices for solving integro-differential equations involved by Caputo fractional derivative ⋮ On the constants in Videnskiĭ type inequalities for Bernstein operators ⋮ Sharp estimates of asymptotic error of approximation by general positive linear operators in terms of the first and the second moduli of continuity

Cites Work

• On the convergence of derivatives of Bernstein approximation
• Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen
• Voronovskaja's theorem revisited
• The Remainder of Certain Linear Approximation Formulas in Two Variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An improvement of the constant in Videnskiĭ's inequality for Bernstein polynomials