The generalization of bivariate MKZ operators by multiple generating functions

DOI10.1016/J.JMAA.2006.09.024zbMath1119.41019OpenAlexW1995898647MaRDI QIDQ879153

Ayşegül Erençin, Fatma Taşdelen

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.024

zbMATH Keywords

modulus of continuitypositive linear operatorsbivariate Meyer-König and Zeller operatorsmodified Lipschitz classVolkov type theorem

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 (9)

Statistical deferred weighted \(\mathcal{B}\)-summability and its applications to associated approximation theorems ⋮ New Korovkin type theorem for non-tensor Meyer-König and Zeller operators ⋮ Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1) ⋮ A Kantorovich-Stancu type generalization of Szasz operators including Brenke type polynomials ⋮ Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems ⋮ On the Korovkin approximation theorem and Volkov-type theorems ⋮ Relatively uniform weighted summability based on fractional-order difference operator ⋮ Degree of approximation of genuine Lupaş-Durrmeyer operators ⋮ Unnamed Item

Cites Work

• The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-König and Zeller operators
• The second moment for the Meyer-König and Zeller operators
• Degree of approximation to function of bounded variation by Bézier variant of MKZ operators.
• The generalization of Meyer-König and Zeller operators by generating functions
• Korovkin type error estimates for Meyer-König and Zeller operators
• On positive operators involving a certain class of generating functions
• Bernsteinsche Potenzreihen
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• Bernstein Power Series
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