Some convergence results for nonlinear Baskakov-Durrmeyer operators

نویسندگان

چکیده

This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ 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 work on bounded functions, which are defined all finite subintervals $[0,\infty)$. comprise some pointwise convergence results for in certain functional spaces. As well as this study can be seen continuation studies about operators, it first or modified Baskakov while there were more papers linear part operators.

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ژورنال

عنوان ژورنال: Carpathian Mathematical Publications

سال: 2023

ISSN: ['2075-9827', '2313-0210']

DOI: https://doi.org/10.15330/cmp.15.1.95-103