On the Lupaş \(q\)-transform

DOI10.1016/j.camwa.2010.11.025zbMath1217.44006OpenAlexW2056792438MaRDI QIDQ552169

Sofiya Ostrovska

Publication date: 21 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.11.025

zbMATH Keywords

analytic functionmeromorphic function\(q\)-binomial theorem\(q\)-integersLupaş \(q\)-analogue of the Bernstein operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Approximation by operators (in particular, by integral operators) (41A35) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (6)

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ Analytical properties of the Lupaş \(q\)-transform ⋮ The rate of convergence of Lupas \(q\)-analogue of the Bernstein operators ⋮ Accurate computations with Lupaş matrices ⋮ Weighted Lupaş \(q\)-Bézier curves ⋮ A qd-type method for computing generalized singular values of BF matrix pairs with sign regularity to high relative accuracy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of generalized Bernstein polynomials
• On the improvement of analytic properties under the limit \(q\)-Bernstein operator
• A \(q\)-analog of Newton's series, Stirling functions and Eulerian functions
• Korovkin-type theorem and application
• Positive linear operators generated by analytic functions
• Properties of convergence for \(\omega,q\)-Bernstein polynomials
• On the Lupaş \(q\)-analogue of the Bernstein operator
• Properties of convergence for the \(q\)-Meyer-König and Zeller operators
• The quantum group SU_q(2) and a q-analogue of the boson operators
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• The q-deformed binomial distribution and its asymptotic behaviour

This page was built for publication: On the Lupaş \(q\)-transform