The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems

Autor:	Sevda Yıldız, Fadime Dirik, Ana Maria Acu, Kamil Demirci
Rok vydání:	2020
Předmět:	010101 applied mathematics Pure mathematics General Mathematics Uniform convergence 010102 general mathematics Point (geometry) 0101 mathematics Type (model theory) 01 natural sciences Double sequence Mathematics
Zdroj:	Georgian Mathematical Journal. 28:567-573
ISSN:	1572-9176 1072-947X
DOI:	10.1515/gmj-2020-2075
Popis:	In this paper, we introduce an interesting kind of convergence for a double sequence called the uniform convergence at a point. We give an example and demonstrate a Korovkin-type approximation theorem for a double sequence of functions using the uniform convergence at a point. Then we show that our result is stronger than the Korovkin theorem given by Volkov and present several graphs. Finally, in the last section, we compute the rate of convergence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8662d164936a86dcbe43f09d336e9239 https://doi.org/10.1515/gmj-2020-2075 Zobrazit plný text záznamu