Abstract
AbstractThe present paper deals with reconstruction of Gamma operators preserving some exponential functions and studies their approximation properties: uniform convergence, rate of convergence, asymptotic formula and saturation. The effectiveness of new operators compared to classical ones is presented in certain senses as well. The last section is devoted to numerical results which compare the effectiveness of new constructions of Gamma operators.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference21 articles.
1. Abel, U., Ivan, M.: Asymptotic approximation of functions and their derivatives by Müller’s gamma operators. Results Math. 43, 1–12 (2003)
2. Acar, T., Aral, A., Gonska, H.: On Szász–Mirakyan operators preserving $e^{2ax}$, $a>0$. Mediterr. J. Math. 14(1), Article ID 6 (2017)
3. Acar, T., Aral, A., Morales, D.C., Garrancho, P.: Szász–Mirakyan-type operators which fix exponentials. Results Math. 72(3), 93–104 (2017)
4. Acar, T., Montano, M.C., Garrancho, P., Leonessa, V.: On Bernstein–Chlodovsky operators preserving $e^{-2x}$. Bull. Belg. Math. Soc. Simon Stevin 26(5), 681–698 (2019)
5. Acar, T., Montano, M.C., Garrancho, P., Leonessa, V.: On sequences of J. P. King-type operators. J. Funct. Spaces 2019, Article ID 2329060 (2019)
Cited by
18 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