Approximation by Bézier variant of the Baskakov-Kantorovich operators in the case \(0<\alpha <1\)

DOI10.1216/RMJ-2014-44-1-317zbMath1295.41024OpenAlexW2081659686MaRDI QIDQ2453647

Vijay Gupta, Octavian Agratini, Xiao-Ming Zeng

Publication date: 10 June 2014

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1401740506

zbMATH Keywords

approximationBaskakov-Kantorovich operatorsBezier variant

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (1)

Convergence analysis of modified Bernstein-Kantorovich type operators

Cites Work

• On the rate of convergence of the Szász-Mirakyan operator for functions of bounded variation
• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• A note on the convergence of Baskakov type operators
• \(L^p\)-approximation by multivariate Baskakov-Kantorovich operators
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• Some properties of the Bézier-Kantorovich type operators
• Rate of convergence of Baskakov-Bézier type operators for locally bounded functions.
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions. II
• An estimate on the convergence of Baskakov-Bézier operators
• The central approximation theorems for Baskakov-Bézier operators
• AN ESTIMATE OF THE RATE OF CONVERGENCE OF A BÉZIER VARIANT OF THE BASKAKOV-KANTOROVICH OPERATORS FOR BOUNDED VARIATION FUNCTIONS
• Exact bounds for some basis functions of approximation operators

This page was built for publication: Approximation by Bézier variant of the Baskakov-Kantorovich operators in the case \(0<\alpha <1\)