On the Remainder Term of Some Bivariate Approximation Formulas Based on Linear and Positive Operators

DOI10.33205/cma.442151zbMath1463.41070OpenAlexW2904103563WikidataQ128783119 ScholiaQ128783119MaRDI QIDQ5122719

Dan Barbosu

Publication date: 24 September 2020

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.442151

zbMATH Keywords

remainder termbivariate divided differenceBernstein-Schurer-Stancu bivariate operatorbivariate approximation formulaStancu bivariate operator

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Remainders in approximation formulas (41A80)

Related Items (8)

Approximation properties of generalized Baskakov operators ⋮ Structure properties for binomial operators ⋮ On the order of approximation by modified summation-integral-type operators based on two parameters ⋮ Korovkin-type approximation theorem for Bernstein operator of rough statistical convergence of triple sequences ⋮ Phillips-type \(q\)-Bernstein operators on triangles ⋮ Modified \(\alpha\)-Bernstein operators with better approximation properties ⋮ Generalized Bernstein-Durrmeyer operators of blending type ⋮ Modifiedρ-Bernstein Operators for Functions of Two Variables

Cites Work

• New representation of the remainder in the Bernstein approximation
• Application of divided differences to the study of monotonicity of the derivatives of the sequence of Bernstein polynomials
• Properties and applications of \(P_n\)-simple functionals
• Differences of Operators of Lupaş Type
• The Remainder of Certain Linear Approximation Formulas in Two Variables
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