We give some Korovkin-type theorems on convergence and estimates of rates of approximations of 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 applications to Mellintype convolution and bivariate Kantorovich-type discrete operators.
Korovkin-type Theorems for Abstract Modular Convergence
BOCCUTO, Antonio
;
2016
Abstract
We give some Korovkin-type theorems on convergence and estimates of rates of approximations of 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 applications to Mellintype convolution and bivariate Kantorovich-type discrete operators.File in questo prodotto:
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