Home On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
Article
Licensed
Unlicensed Requires Authentication

On the (C, –1 &lt; α &lt; 0)-Summability of Series with Respect to Block-Orthonormal Systems

  • G. Nadibaidze
Published/Copyright: February 23, 2010
Become an author with De Gruyter Brill
Georgian Mathematical Journal
From the journal Volume 7 Issue 3

Abstract

Statements connected with the (C, α) (1 < α < 0)-summability almost everywhere of series with respect to block-orthonormal systems are given. In particular, it is stated that if , then the condition guarantees the (C, α)-summability almost everywhere of the series with respect to an {ϕn} – (Nk, Nk+1]-orthonormal system.

Received: 1999-11-10
Published Online: 2010-02-23
Published in Print: 2000-September

© Heldermann Verlag

Downloaded on 11.10.2025 from https://www.degruyterbrill.com/document/doi/10.1515/GMJ.2000.565/html
Scroll to top button