Convergence of GBS Operators

Vijay Gupta, Themistocles M. Rassias, P. N. Agrawal and Ana Maria Acu
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Vijay Gupta: Netaji Subhas Institute of Technology
Themistocles M. Rassias: National Technical University of Athens
P. N. Agrawal: Indian Institute of Technology
Ana Maria Acu: Lucian Blaga University of Sibiu

Chapter Chapter 9 in Recent Advances in Constructive Approximation Theory, 2018, pp 241-278 from Springer

Abstract: Abstract In [59, 60], Bögel introduced a new concept of Bögel-continuous and Bögel-differentiable functions and also established some important theorems using these concepts. Dobrescu and Matei [80] showed the convergence of the Boolean sum of bivariate generalization of Bernstein polynomials to the B-continuous function on a bounded interval. Subsequently, Badea and Cottin [46] obtained Korovkin theorems for GBS operators.

Date: 2018
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DOI: 10.1007/978-3-319-92165-5_9

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