[PDF][PDF] On one application of infinite systems of functional equations in function theory
S Serbenyuk - Tatra Mt. Math. Publ, 2019 - intapi.sciendo.com
Tatra Mt. Math. Publ, 2019•intapi.sciendo.com
… In October 2014, the results of the present paper and of the similar research for the case
of positive and alternating Cantor series (the papers [17–20,24,28]) were presented by the
author in reports “Determination of a class of functions, that are represented by Cantor series,
by systems of functional equations” and “Polybasic positive and alternating Q-representations
and their applications to determination of functions by systems of functional equations” at
the seminar on fractal analysis of the Institute of Mathematics of NAS of Ukraine and of the …
of positive and alternating Cantor series (the papers [17–20,24,28]) were presented by the
author in reports “Determination of a class of functions, that are represented by Cantor series,
by systems of functional equations” and “Polybasic positive and alternating Q-representations
and their applications to determination of functions by systems of functional equations” at
the seminar on fractal analysis of the Institute of Mathematics of NAS of Ukraine and of the …
Abstract
The paper presents the investigation of applications of infinite systems of functional equations for modeling functions with complicated local structure that are defined in terms of the nega-Q-representation. The infinite systems of functional equations f
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