GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle. (14th February 2018)

• Record Type: Journal Article
• Authors: Ruchi, Ruchi; Baxhaku, Behar; Agrawal, Purshottam N.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 7(2018)
• Page Start: 2673
• Page End: 2683
• Publication Date: 2018-02-14
• Subjects: Bivariate Bernstein‐Durrmeyer operators -- Bögel continuous -- Bögel differentiable -- GBS operators -- modulus of smoothness; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4771
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The purpose of the present paper is to define the GBS (Generalized Boolean Sum) operators associated with the two‐dimensional Bernstein‐Durrmeyer operators introduced by Zhou 1992 and study its approximation properties. Furthermore, we show the convergence and comparison of convergence with the GBS of the Bernstein‐Kantorovich operators proposed by Deshwal et al 2017 by numerical examples and illustrations.