Approximation by \(q\)-Durrmeyer type polynomials in compact disks in the case \(q > 1\)

DOI10.1016/j.amc.2014.03.119zbMath1334.41021OpenAlexW1965048159MaRDI QIDQ274992

Nazim Idris Mahmudov

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.119

zbMATH Keywords

\(q\)-beta function\(q\)-integer\(q\)-factorialcomplex \(q\)-Durrmeyer operatorsexact order of approximationquantitative Voronovskaja-type asymptotic formula

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (4)

Approximation by \(q\)-Durrmeyer type polynomials in compact disks in the case \(q > 1\) ⋮ The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ On approximation by Stancu type Bernstein-Schurer polynomials in compact disks ⋮ Approximation properties of the \(q\)-Balázs-Szabados complex operators in the case \(q\geq 1\)

Cites Work

• Approximation by \(q\)-Durrmeyer type polynomials in compact disks in the case \(q > 1\)
• On \(q\)-analogue of a complex summation-integral type operators in compact disks
• Approximation by a complex \(q\)-Durrmeyer type operator
• Approximation by Bernstein-Durrmeyer-type operators in compact disks
• Convergence properties and iterations for q-stancu polynomials in compact disks
• Approximation by complex genuine durrmeyer type polynomials in compact disks
• Approximation properties of complex \(q\)-Szász-Mirakjan operators in compact disks
• Approximation by complex Bernstein-Durrmeyer polynomials in compact disks
• The saturation of convergence on the interval [0,1 for the \(q\)-Bernstein polynomials in the case \(q>1\)]
• \(q\)-Bernstein polynomials and their iterates.
• Approximation theorems for generalized complex Kantorovich-type operators
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• The sharpness of convergence results for q-Bernstein polynomials in the case q > 1
• Applications of q-Calculus in Operator Theory
• Overconvergence in Complex Approximation
• Approximation by complex summation-integral type operator in compact disks
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