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Approximation properties of bivariate generalized Baskakov-Kantorovich operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 14، شماره 10، دی 2023، صفحه 361-375 اصل مقاله (667.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29597.4203 | ||
| نویسندگان | ||
| Meenu Goyal* 1؛ P. N. Agrawal2 | ||
| 1School of Mathematics, Thapar Institute of Engineering and Technology, Patiala-147004, India | ||
| 2Department of Mathematics, Indian Institute of Technology Roorkee-247667, India | ||
| تاریخ دریافت: 23 دی 1401، تاریخ پذیرش: 15 اسفند 1401 | ||
| چکیده | ||
| The purpose of this paper is to study the bivariate extension of the generalized Baskakov-Kantorovich operators and obtain results on the degree of approximation, Voronovskaja type theorems and their first order derivatives in polynomial weighted spaces. Furthermore, we illustrate the convergence of the bivariate operators to a certain function through graphics using Matlab algorithm. We also discuss the comparison of the convergence of the bivariate generalized Baskakov Kantorovich operators and the bivariate Sz'{a}sz-Kantorovich operators to the function through illustrations using Matlab. | ||
| کلیدواژه‌ها | ||
| Rate of convergence؛ simultaneous approximation؛ bivariate modulus of continuity | ||
| مراجع | ||
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