Paper Title:

On Saturation of Norm Convergence of Walsh-Fourier Matrix Transform Means

Author(s):

István Blahota

Institute of Mathematics and Computer Sciences,
University of Nyíregyháza, H-4400 Nyíregyháza,
Sóstói street 31/b,
Hungary
E-mail: blahota.istvan@nye.hu

Abstract:

In this paper we investigate the saturation of norm convergence issues for regular matrix transform means in case of Walsh-Paley system. The main result is the observation of equality ||σ^T_n (f) - f ||_p=0(a)_n where a_n sequence of positive numbers tends to zero and there exists constant $c$, for which t_1,n≤ ca_n for every n∈P.

Full Text PDF: