Approximation Properties of the Modified Stancu Operators

DOI10.1080/01630563.2016.1248564zbMath1364.41011OpenAlexW2593742267MaRDI QIDQ2987798

Purshottam N. Agrawal, Ana-Maria Acu, Trapti Neer

Publication date: 18 May 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1248564

zbMATH Keywords

rate of convergenceDitzian-Totik modulus of smoothnessVoronovskaja type theoremStancu operator

Mathematics Subject Classification ID

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

Related Items

Convergence properties of certain positive linear operators ⋮ Better degree of approximation by modified Bernstein-Durrmeyer type operators ⋮ Pointwise approximation by Bézier variant of an operator based on Laguerre polynomials ⋮ Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials ⋮ Bezier variant of the Bernstein-Durrmeyer type operators ⋮ Unnamed Item ⋮ Convergence analysis of modified Szász operators associated with Hermite polynomials ⋮ Quantitative Voronovskaya and Grüss-Voronovskaya type theorems for Jain-Durrmeyer operators of blending type ⋮ Approximation by genuine Gupta-Srivastava operators ⋮ On sequences of J. P. King-type operators ⋮ Approximation properties of certain Bernstein-Stancu type operators ⋮ Modified \(\alpha\)-Bernstein operators with better approximation properties ⋮ Modifiedρ-Bernstein Operators for Functions of Two Variables

Cites Work

• The new forms of Voronovskaya's theorem in weighted spaces
• Bernstein-type operators which preserve polynomials
• General King-type operators
• Quantitative theorems on approximation by Bernstein-Stancu operators
• Positive linear operators which preserve \(x^2\)
• Asymptotic formulas for generalized Szász-Mirakyan operators
• On the generalized Szász-Mirakyan operators
• Lupaş-Durrmeyer operators based on Polya distribution
• q-Voronovskaya type theorems forq-Baskakov operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS

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