6533b858fe1ef96bd12b5830

RESEARCH PRODUCT

Convergence of GBS Operators

Ana Maria AcuVijay GuptaThemistocles M. RassiasPurshottam Narain Agrawal

subject

Discrete mathematicsGeneralizationBounded functionConvergence (routing)Interval (graph theory)Function (mathematics)Bivariate analysisBernstein polynomialMathematics

description

In [59, 60], Bogel introduced a new concept of Bogel-continuous and Bogel-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.

yearjournalcountryeditionlanguage
2018-01-01
https://doi.org/10.1007/978-3-319-92165-5_9