On the rates of convergence of Bernstein–Chlodovsky polynomials and their Bézier-type variants

DOI10.1080/00036810903399046zbMath1217.41018OpenAlexW2058162593MaRDI QIDQ2995520

Paulina Pych-Taberska, Harun Karsli

Publication date: 21 April 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903399046

zbMATH Keywords

rate of convergence\(p\)-th power variationBézier basisChanturiya's modulus of variationBernstein-Chlodovsky polynomials

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (8)

Degree of approximation for bivariate Chlodowsky-Szasz-Charlier type operators ⋮ Convergence rate of Szász operators involving Boas-Buck-type polynomials ⋮ Approximation by a Kantorovich variant of Szász operators based on Brenke-type polynomials ⋮ Unnamed Item ⋮ Convergence of the Bernstein-Durrmeyer operators in variation seminorm ⋮ On convergence of Chlodovsky and Chlodovsky-Kantorovich polynomials in the variation seminorm ⋮ Approximation properties of a certain nonlinear Durrmeyer operators ⋮ Order of approximation by an operator involving biorthogonal polynomials

Cites Work

• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• Some properties of the Bézier-Kantorovich type operators
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions. II
• Convergence rate of a new Bézier variant of Chlodowsky operators to bounded variation functions
• Rate of Convergence of Chlodowsky-Type Bernstein Operators for Functions of Bounded Variation
• Unnamed Item

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