Abstract
"In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples."
Reference36 articles.
1. "[1] Agratini, O., Statistical convergence applied to Korovkin-type approximation theory, WSEAS Transactions on Mathematics, 16(2017), 183-186.
2. [2] Agratini, O., From uniform to statistical convergence of binomial-type operators, in Advances in Summability and Approximation Theory, Springer, (2018), 169-179.
3. [3] Agratini, O., Approximation properties of a class of linear operators, Mathematical Methods in the Applied Sciences, 36(17)(2013), 2353-2358.
4. [4] Agratini, O., A-Statistical convergence of a class of integral operators, Applied Mathematics and Information Sciences, 6(2012), no. 2, 325-328.
5. [5] Akdäg, S., Statistical e-convergence of double sequences on probabilistic normed spaces, Stud. Univ. Babeș-Bolyai Math., 64(2019), no. 2, 529-536.