Note on approximation properties of generalized Durrmeyer operators

DOI10.1186/2251-7456-6-24zbMath1264.41017OpenAlexW2138584036WikidataQ59288547 ScholiaQ59288547MaRDI QIDQ1953790

Honey Sharma

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-24

zbMATH Keywords

modulus of continuityMaple\(q\)-integers\(q\)-factorial\(q\)-Durrmeyer operators\(q\)-Beta function

Mathematics Subject Classification ID

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

Related Items (5)

On certain family of mixed summation integral type two-dimensional \(q\)-Lupaş-Phillips-Bernstein operators ⋮ Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators ⋮ Approximation Properties of Kantorovich Type Modifications of $(p, q)-$Meyer-König-Zeller Operators ⋮ On Durrmeyer-type generalization of \((p,q)\)-Bernstein operators ⋮ Some applications of new modified \(q\)-integral type operators

Uses Software

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Cites Work

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• Recurrence formula and better approximation for \(q\)-Durrmeyer operators
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• \(q\)-Bernstein polynomials and their iterates.
• Korovkin-type theorem and application
• Properties of convergence for \(\omega,q\)-Bernstein polynomials
• Some approximation properties of \(q\)-Durrmeyer operators
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• Quantum calculus

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