2010/05/21 by Nazım I. Mahmudov, Mahmudov, Nazim I.
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration
paper · pdf · doi:10.48550/arxiv.1005.3934
openalex publication_date 2010/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
his paper deals with approximating properties of the newly defined q-generalization of the Szász operators in the case q>1. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szász operators (q>1) is of order q-n versus 1/n for the classical Szász--Mirakjan operators.