Blending type approximation by bivariate generalized Bernstein type operators

DOI10.2989/16073606.2019.1639843zbMath1459.41004OpenAlexW2968555697WikidataQ127390473 ScholiaQ127390473MaRDI QIDQ5149769

Behar Baxhaku, Arun Kajla

Publication date: 8 February 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1639843

zbMATH Keywords

GBS operators\(B\)-continuous functionmixed modulus of smoothness

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25)

Related Items (3)

Weighted A-statistical convergence and Bögel approximation by operators of exponential type ⋮ Approximation properties of generalized blending type Lototsky-Bernstein operators ⋮ Some new inequalities and numerical results of bivariate Bernstein-type operator including Bézier basis and its GBS operator

Cites Work

• Degree of approximation for bivariate Chlodowsky-Szasz-Charlier type operators
• Approximation of functions by a new family of generalized Bernstein operators
• \(q\)-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables
• Degree of approximation for bivariate generalized Bernstein type operators
• Korovkin-type approximation properties of bivariate \(q\)-Meyer-König and Zeller operators
• Über die mehrdimensionale Differentiation
• The remainder in the approximation by a generalized Bernstein operator: A representation by a convex combination of second-order divided differences
• Approximating \(B\)-continuous functions using GBS operators of Bernstein-Schurer-Stancu type based on \(q\)-integers
• Stancu-Schurer-Kantorovich operators based on \(q\)-integers
• Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type
• Approximation by bivariate \((p,q)\)-Bernstein-Kantorovich operators
• Direct and inverse theorems for multivariate Bernstein-Schurer-Stancu operators
• Kantorovich Operators of Order k
• Approximation of functions by genuine Bernstein-Durrmeyer type operators
• GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle
• Blending type approximation by generalized Bernstein-Durrmeyer type operators
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