Approximation by modified \(U^{\rho }_n\) operators

DOI10.1007/s13398-019-00655-yzbMath1423.41028OpenAlexW2918274972MaRDI QIDQ2317600

Ana-Maria Acu, Voichiţa Adriana Radu, Tuncer Acar

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00655-y

zbMATH Keywords

rate of convergencemoduli of continuityVoronovskaya type theorem\(\lambda \)-Bernstein operators\(U^{\rho }_n\) operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (12)

Unnamed Item ⋮ Approximation of functions by a class of Durrmeyer-Stancu type operators which includes Euler's beta function ⋮ On the shape-preserving properties of \(\lambda\)-Bernstein operators ⋮ Unnamed Item ⋮ λ-Bernstein Operators Based on Pólya Distribution ⋮ The family of \(\lambda\)-Bernstein-Durrmeyer operators based on certain parameters ⋮ Convergence of certain hybrid operators ⋮ Higher order Kantorovich operators based on inverse Pólya-Eggenberger distribution ⋮ Approximation of functions by a new class of generalized Bernstein-Schurer operators ⋮ Unnamed Item ⋮ Approximation with certain exponential operators ⋮ Approximation for modification of exponential type operators connected with \(x(x+1)^2\)

Cites Work

• New estimates for the differences of positive linear operators
• Approximation properties of \(\lambda\)-Bernstein operators
• Korovkin-type approximation theory and its applications
• Bezier variant of the Bernstein-Durrmeyer type operators
• Approximation of Baskakov type Pólya-Durrmeyer operators
• Grüss-type and Ostrowski-type inequalities in approximation theory
• The eigenstructure of operators linking the Bernstein and the genuine Bernstein-Durrmeyer operators
• Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
• Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions
• On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
• A Survey on Estimates for the Differences of Positive Linear Operators
• Quantitative estimates for some modified Bernstein-Stancu operators
• Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
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