2015/11/19 by M. Mursaleen, Mursaleen, M., Nasiruzzaman +2 · 2 citations
Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #math.CA
paper · pdf · doi:10.48550/arxiv.1511.06628
15 pages
arxiv created 2015/11/19 · openalex publication_date 2015/11/19 · arxiv updated 2015/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we construct a linear positive operators q-parametric Szasz-Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin's type approximation theorem for these operators and compute convergence of these operators by using the modulus of continuity. Furthermore, the rate of convergence of the operators for functions belonging to the Lipschitz class is presented.