2015/08/21 by Vishnu Narayan Mishra, Preeti Sharma, Mishra, Vishnu Narayan +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #math.FA
paper · pdf · doi:10.48550/arxiv.1508.05292
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arxiv created 2015/08/21 · openalex publication_date 2015/08/21 · arxiv updated 2015/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\refeq1). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the convergence in certain weighted spaces is investigated. We study q-analogues of Baskakov-Schurer-Szász operators and it's Stancu generalization. In the last section, we give better error estimations for the operators (\refeq2) using King type approach and obtained weighted statistical approximation properties for operator (\refqb)