Abstract
Abstractthat fix the function$e^{-2x} $e−2xfor$x\geq 0 $x≥0. Then, we provide the approximation properties of these newly defined operators for different types of function spaces. In addition, we focus on the rate of convergence utilizing appropriate moduli of continuity. Then, we provide the Voronovskaya-type theorem for these new operators. Finally, in order to validate our theoretical results, we provide some numerical experiments that are produced by a MATLAB complier.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference27 articles.
1. Acar, T., Aral, A., Cardenas-Morales, D., Garrancho, P.: Szasz–Mirakyan type operators which fix exponentials. Results Math. 72, 1393–1404 (2017)
2. Acar, T., Aral, A., Gonska, H.: On Szasz–Mirakyan operators preserving $e^{2ax}$, $a>0 $. Mediterr. J. Math. 14(1), 6 (2017)
3. Acar, T., Aral, A., Rasa, I.: The new forms of Voronovskaya’s theorem in weighted spaces. Positivity 20, 25–40 (2016)
4. Acar, T., Aral, A., Rasa, I.: Positive linear operators preserving τ and $\tau ^{2} $. Constr. Math. Anal. 2(3), 98–102 (2019)
5. Acar, T., Montano, M.C., Garrancho, P., Leonessa, V.: On Bernstein–Chlodovsky operators preserving $e^{-2x}$. Bull. Belg. Math. Soc. Simon Stevin 26, 681–698 (2019)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献