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Relative modular uniform approximation by means of the power series method
with applications
Volume 60, no. 1
(2019),
pp. 187–208
https://doi.org/10.33044/revuma.v60n1a11
Abstract
We introduce the notion of relative convergence by means of a four dimensional
matrix in the sense of the power series method, which includes Abel's as well as
Borel's methods, to prove a Korovkin type approximation theorem by using the
test functions $\{1,y,z,y^{2}+z^{2}\}$ and a double sequence of positive linear
operators defined on modular spaces. We also endeavor to examine some
applications related to this new type of approximation.
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Published by the Unión Matemática Argentina |
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