Construction of the Kantorovich variant of the Bernstein-Chlodovsky operators based on parameter α

DOI10.7153/JMI-2022-16-55OpenAlexW4285282468MaRDI QIDQ5093926

Qing-Bo Cai, Bo-Yong Lian

Publication date: 2 August 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2022-16-55

zbMATH Keywords

modulus of continuitybounded variationmodulus of smoothnessChlodovsky operators

Mathematics Subject Classification ID

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

Cites Work

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• Approximation of functions by a new family of generalized Bernstein operators
• Approximation and geometric properties of complex \(\alpha\)-Bernstein operator
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• Approximation of Baskakov type Pólya-Durrmeyer operators
• Improved approximation and error estimations by King type \((p, q)\)-Szász-Mirakjan Kantorovich operators
• Dunkl-type generalization of the second kind beta operators via \((p, Q)\)-calculus
• Approximation by Jakimovski-Leviatan-beta operators in weighted space
• Some properties of Kantorovich-Stancu-type generalization of Szász operators including Brenke-type polynomials via power series summability method
• Approximation by parametric extension of Szász-Mirakjan-Kantorovich operators involving the Appell polynomials
• Approximation by a class of \(q\)-beta operators of the second kind via the Dunkl-type generalization on weighted spaces
• Approximation properties of chlodowsky variant of \((p,q)\) Bernstein-Stancu-Schurer operators
• Construction of a new family of Bernstein-Kantorovich operators
• Rates of convergence of Chlodovsky-Kantorovich polynomials in classes of locally integrable functions
• The Bézier variant of Lupas Kantorovich operators based on Polya distribution
• Blending type approximation by generalized Bernstein-Durrmeyer type operators
• Convergence of integral operators based on different distributions
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• Approximation by Chlodowsky type of Szász operators based on Boas–Buck-type polynomials

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