Approximation by a Kantorovich type q-Bernstein-Stancu operators

2015/05/24 by M. Mursaleen, Mursaleen, M., Khursheed J‎. ‎Ansari +3 · 1 citation
Mathematics · #41A10 #41A25 #41A36 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1505.06998

openalex publication_date 2015/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of continuity. Further, we study local approximation property and Voronovskaja type theorem for the said operators. We show comparisons and some illustrative graphics for the convergence of operators to a certain function.

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• Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators

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