Functions and Analysis


Korovkin-Type Theorems for Abstract Modular Convergence

Authors: Antonio Boccuto, Xenofon Dimitriou

We give some Korovkin-type theorems on convergence and estimates of rates of approximations for nets of functions, satisfying suitable axioms, whose particular cases are filter/ideal convergence, almost convergence and triangular A-statistical convergence, where A is a non-negative summability method. Furthermore, we give some comparison result between different types of convergence and applications to integral type and discrete operators.

Comments: 7 Pages.

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[v1] 2016-01-26 11:04:20

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