Approximation by bivariate Chlodowsky type Szász-Durrmeyer operators and associated GBS operators on weighted spaces

DOI10.1186/s13660-022-02763-7zbMath1506.41011OpenAlexW4213335761MaRDI QIDQ2129117

Yanyan Li

Publication date: 22 April 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02763-7

zbMATH Keywords

degree of approximationweighted approximationmixed modulus of continuityLipschitz-type functionsGBS-type operators

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (3)

Convergence analysis of modified Szász operators associated with Hermite polynomials ⋮ Chlodowsky-type Szász operators via Boas-Buck-type polynomials and some approximation properties ⋮ Quantitative-Voronovskaja-type theorems for novel generalized-Szász-Durrmeyer operators incorporating the Sheffer sequences

Cites Work

• Über die mehrdimensionale Differentiation
• Generalized Bernstein-Chlodowsky polynomials
• Approximation of functions of two variables by some operators in weighted spaces
• On Chlodowsky variant of Szász operators by Brenke type polynomials
• Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type
• Approximation by modified Szasz-Mirakjan operators on weighted spaces
• \(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces
• Weighted approximation and GBS of Chlodowsky-Szász-Kantorovich type operators
• The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
• Approximation of functions of two variables by certain linear positive operators
• On Global Inverse Theorems of Szász and Baskakov Operators
• ON CERTAIN MODIFIED SZÁSZ-MIRAKYAN OPERATORS FOR FUNCTIONS OF TWO VARIABLES
• On certain GBS-Durrmeyer operators based on $q$-integers
• Mehrdimensionale Differentiation von Funktionen mehrerer reeller Veränderlichen.
• SATURATION THEOREM FOR SZÁSZ-DURRMEYER OPERATORS
• Generalization of Bernstein's polynomials to the infinite interval
• Quantitative estimates for GBS operators of Chlodowsky-Szász type
• Approximation by a composition of Chlodowsky operators and Százs–Durrmeyer operators on weighted spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximation by bivariate Chlodowsky type Szász-Durrmeyer operators and associated GBS operators on weighted spaces