IDEAL e-CONVERGENCE OF DOUBLE SEQUENCES AND A KOROVKIN-TYPE APPROXIMATION THEOREM.

Autor: SEVER, YURDAL, TALO, ÖZER
Předmět:
Zdroj: Sarajevo Journal of Mathematics; 2023, Vol. 19 Issue 1, p29-40, 12p
Abstrakt: In the present paper, we introduce the concept of ideal e-convergence of double sequences and prove some fundamental properties. Next, we define the concepts of ideal e-limit superior and inferior for double sequences. After that, some properties of this type of convergence are examined. Finally, we give a Korovkin-type approximation theorem for double sequences of positive linear operators on the space of all continuous real-valued functions defined on any compact subset of the real two-dimensional space via ideal e-convergence. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index