2015/12/29 by Mehmet Ali Özarslan, Oktay Duman · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration
paper · doi:10.1080/01630563.2015.1079219
openalex publication_date 2015/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
In this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ones classically used. We obtain a simultaneous approximation result for our operators. Also, we prove two direct approximation results via the usual second-order modulus of smoothness and the second-order Ditzian-Totik modulus of smoothness, respectively. Finally, some graphical illustrations are provided.