Some convergence results for nonlinear Baskakov-Durrmeyer operators
In: Karpatsʹkì Matematičnì Publìkacìï, Jg. 15 (2023), Heft 1, S. 95-103
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Zugriff:
This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ of the form \[ (NBD_{n})(f;x) =\int_{0}^\infty K_{n}(x,t,f(t))\,dt \] with $x\in [0,\infty)$ and $n\in\mathbb{N}$. While $K_{n}(x,t,u)$ provide convenient assumptions, these operators work on bounded functions, which are defined on all finite subintervals of $[0,\infty)$. This paper comprise some pointwise convergence results for these operators in certain functional spaces. As well as this study can be seen as a continuation of studies about nonlinear operators, it is the first study on nonlinear Baskakov-Durrmeyer or modified Baskakov operators, while there were more papers on linear part of the operators.
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Some convergence results for nonlinear Baskakov-Durrmeyer operators
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Autor/in / Beteiligte Person: | Altin, H.E. |
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Zeitschrift: | Karpatsʹkì Matematičnì Publìkacìï, Jg. 15 (2023), Heft 1, S. 95-103 |
Veröffentlichung: | Vasyl Stefanyk Precarpathian National University, 2023 |
Medientyp: | academicJournal |
ISSN: | 2075-9827 (print) ; 2313-0210 (print) |
DOI: | 10.15330/cmp.15.1.95-103 |
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