2016/01/25 by M. Mursaleen, Mursaleen, M., Taqseer Khan +1
Decision Sciences · Mathematics · #40A30 #41A10 #41A25 #41A36 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fuzzy and Soft Set Theory #Mathematical Approximation and Integration
paper · pdf · doi:10.48550/arxiv.1602.06319
openalex publication_date 2016/01/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper we introduce the Stancu type generalization of the q-Bernstein-Schurer-Kantorovich operators and examine their approximation properties. We investigate the convergence of our operators with the help of the Korovkin's approximation theorem and examine the convergence of these operators in the Lipschitz class of functions. We also investigate the approximation process for these operators through the statistical Korovkin's approximation theorem. Also, we present some direct theorems for these operators. Finally we introduce the bivariate analogue of these operators and study some results for the bivariate case.