This article is cited in 1 paper

Mathematics

On a summation method for Vilenkin and generalized Haar systems

G. G. Gevorkyan^a, K. A. Navasardyan<sup>b

a</sup> Chair of Mathematical Analysis and Functions Theory YSU, Armenia
^b Chair of Numerical Analysis and Mathematical Modeling YSU, Armenia

Abstract: New summation method for Vilenkin and Haar series is considered. In particular, it is shown that the Fourier series of an integrable function is almost everywhere summable by considered method.

Keywords: Vilenkin system, generalized Haar system, summation method.

MSC: 42C10

Received: 18.11.2016
Accepted: 19.12.2016

Language: English