Approximation properties of \((p,q)\)-Bernstein type operators

DOI10.1515/AUSM-2016-0014zbMath1356.41011OpenAlexW2585502757MaRDI QIDQ508632

Zoltán Finta

Publication date: 7 February 2017

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ausm-2016-0014

zbMATH Keywords

rate of convergencemodulus of continuity\((p,q)\)-integers\((p,q)\)-Bernstein operators\((p,q)\)-Kantorovich operatorslimit \((p,q)\)-Bernstein operator

Mathematics Subject Classification ID

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

Related Items (5)

Approximation of Durrmeyer type operators depending on certain parameters ⋮ An elaboration of the Cai-Xu result on \((p, q)\)-integers ⋮ On Durrmeyer type \(\lambda\)-Bernstein operators via \((p,q)\)-calculus ⋮ Results Concerning Certain Linear Positive Operators ⋮ Bivariate Chlodowsky-Stancu variant of \((p, q)\)-Bernstein-Schurer operators

Cites Work

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• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• The inequalities for some types of \(q\)-integrals
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• Representations of two parameter quantum algebras and \(p,q\)-special functions
• Applications of q-Calculus in Operator Theory
• Convergence Estimates in Approximation Theory
• Quantum calculus

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