Approximation by \(q\)-Durrmeyer operators

DOI10.1007/s12190-008-0141-5zbMath1198.41008OpenAlexW2000349002MaRDI QIDQ1032561

Zoltán Finta, Vijay Gupta

Publication date: 26 October 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0141-5

zbMATH Keywords

simultaneous approximation\(K\)-functionals\(q\)-Durrmeyer operatorsmodulu of smoothness

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

Related Items (23)

Bernstein-Schurer-Kantorovich operators based on \(q\)-integers ⋮ On certain family of mixed summation integral type two-dimensional \(q\)-Lupaş-Phillips-Bernstein operators ⋮ \((p,q)\)-genuine Bernstein Durrmeyer operators ⋮ Stancu type generalization of \(q\)-Favard-Szàsz operators ⋮ On the Durrmeyer type modification of the \(q\)-Baskakov type operators ⋮ Unnamed Item ⋮ Approximation of Durrmeyer type operators depending on certain parameters ⋮ Approximation by Baskakov-Durrmeyer-Stancu operators based on \(q\)-integers ⋮ Approximation by complex \(q\)-Durrmeyer polynomials in compact disks ⋮ Approximation by \( q \) Baskakov beta operators ⋮ The Durrmeyer type modification of the \(q\)-Baskakov type operators with two parameter \(\alpha\) and \(\beta\) ⋮ Results Concerning Certain Linear Positive Operators ⋮ Approximation Properties of Two-Dimensionalq-Bernstein-Chlodowsky-Durrmeyer Operators ⋮ Stancu type generalization of modified Schurer operators based on \(q\)-integers ⋮ Generalized q-Baskakov operators ⋮ On certain \(q\)-Phillips operators ⋮ Generalized Szász Durrmeyer operators ⋮ Recurrence formula and better approximation for \(q\)-Durrmeyer operators ⋮ On \(q\)-Szász-Durrmeyer operators ⋮ Approximation by Durrmeyer Type Operators Preserving Linear Functions ⋮ Approximation properties for the genuine modified Bernstein-Durrmeyer-Stancu operators ⋮ A New Genuine Durrmeyer Operator ⋮ Dunkl generalization of Szász operators via \(q\)-calculus

Cites Work

• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• Some approximation properties of \(q\)-Durrmeyer operators
• Polynomial interpolation at points of a geometric mesh on a triangle
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