2019/11/19 by Rishikesh Yadav, Yadav, Rishikesh, Ramakanta Meher +3
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1911.08898
openalex publication_date 2019/11/19 · openalex created_date 2019/12/05 · openalex updated_date 2026/07/28
In this paper, bivariate Szasz-Mirakjan type operators are introduced along with the estimation of its approximation properties and its rate of convergence. Furthermore, to check the asymptotic behavior of the said bivariate operators, the Voronovskaya type theorem is proved and determined the simultaneous approximation of the operators for first-order partial derivative. Finally, the convergence behavior of the bivariate operators are obtained through graphical representation and validated the numerical results with the results of Szasz-Mirakjan operators for the function of two variables.