Asymptotic properties of powers of linear positive operators which preserve \(e_2\)

DOI10.1016/j.camwa.2011.10.036zbMath1236.41024OpenAlexW2056642167MaRDI QIDQ2429107

Nazim Idris Mahmudov

Publication date: 22 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.036

zbMATH Keywords

modulus of smoothnessiterates of operatorsdegree of approximationBernstein operatorsgenuine Bernstein-Durrmeyer operatorsKing type operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Basic hypergeometric functions (33D99)

Related Items (4)

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ New rates of convergence for the iterates of some positive linear operators ⋮ New quantitative results for the convergence of the iterates of some positive linear operators ⋮ Approximate controllability and complete controllability of semilinear fractional functional differential systems with control

Cites Work

• Convergence properties and iterations for q-stancu polynomials in compact disks
• Approximation by complex Bernstein-stancu polynomials in compact disks
• The limiting semigroup of the Bernstein iterates: degree of convergence
• On the iterates of a class of summation-type linear positive operators
• On the iterates of positive linear operators preserving the affine functions
• Korovkin-type theorems and applications
• Asymptotic properties of powers of Bernstein operators
• Iterates of Markov operators
• Korovkin-type approximation theory and its applications
• On the limits of (linear combinations of) iterates of linear operators
• On the iterates of some Bernstein-type operators
• \(q\)-Bernstein polynomials and their iterates.
• Positive linear operators which preserve \(x^2\)
• Iterates of Bernstein operators, via contraction principle
• Voronovskaja's theorem and iterations for complex Bernstein polynomials in compact disks
• Over-iterates of Bernstein-Stancu operators
• Iterates of Bernstein polynomials
• Iteration of positive approximation operators
• The saturation class and iterates of the Bernstein polynomials
• Over-iterates of Bernstein's Operators: A Short and Elementary Proof
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic properties of powers of linear positive operators which preserve \(e_2\)