Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators

DOI10.1016/S0898-1221(00)00082-1zbMath0972.41018MaRDI QIDQ1569978

Xiao-Ming Zeng

Publication date: 20 September 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Meyer-König and Zeller operatorsrate of approximation

Mathematics Subject Classification ID

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

Related Items (10)

Convergence rate of Szász operators involving Boas-Buck-type polynomials ⋮ Pointwise approximation by Bézier variant of integrated MKZ operators ⋮ On bounded variation functions by general MKZD operators ⋮ Bézier variant of modified \(\alpha\)-Bernstein operators ⋮ An estimate on the convergence of MKZ-Bézier operators ⋮ Approximation by a Kantorovich variant of Szász operators based on Brenke-type polynomials ⋮ Degree of approximation to function of bounded variation by Bézier variant of MKZ operators. ⋮ Approximation by Bézier type of Meyer-König and Zeller operators ⋮ Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case \(\alpha < 1\) ⋮ Order of approximation by an operator involving biorthogonal polynomials

Cites Work

• On the rate of convergence of the Szász-Mirakyan operator for functions of bounded variation
• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• On the rate of convergence of the Durrmeyer operator for functions of bounded variation
• The local \(L_ 1\) saturation class of the method of integrated Meyer- Koenig and Zeller operators
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• A global approximation theorem for Meyer-König and Zeller operators
• 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
• On the rate of convergence of some operators on functions of bounded variation
• Bernsteinsche Potenzreihen
• $L_{p}$-approximation by the method of integral Meyer-König and Zeller operators
• Bernstein Power Series
• The moments for the Meyer-König and Zeller operators
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