On \(q\)-Baskakov-Mastroianni operators

DOI10.1216/RMJ-2012-42-3-773zbMath1251.41009MaRDI QIDQ444693

Cristina Radu, Octavian Agratini

Publication date: 16 August 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1344430859

zbMATH Keywords

rate of convergenceStirling numbersmoduli of smoothness\(q\)-integersBohman-Korovkin theoremlinear positive operator

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (5)

Approximation with an arbitrary order by modified Baskakov type operators ⋮ Approximation by the \(q\)-Szász-Mirakjan operators ⋮ An extension based on \(qR\)-integral for a sequence of operators ⋮ \((p , q)\)-generalization of Szász-Mirakjan operators and their approximation properties ⋮ \(q\)-Szász-Mirakyan-Kantorovich operators of functions of two variables in polynomial weighted spaces

Cites Work

• On the improvement of analytic properties under the limit \(q\)-Bernstein operator
• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• \(q\)-parametric Bleimann Butzer and Hahn operators
• On statistical approximation of a general class of positive linear operators extended in \(q\)-calculus
• Korovkin-type approximation theory and its applications
• Interpolation and approximation by polynomials
• Bleimann, Butzer, and Hahn operators based on the \(q\)-integers
• On the Lupaş \(q\)-analogue of the Bernstein operator
• Weighted simultaneous approximation with Baskakov type operators
• Quantum calculus
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