Some new resuts concering strong convergence of Fejér means with respect to Vilenkin systems

L.-E.  Persson; G.  Tephnadze; G. Tutberidze; P.  Wall

doi:10.37863/umzh.v73i4.226

L.-E. Persson UiT -The Arctic Univ. Narvik, Norway and Karlstad Univ., Sweden
G. Tephnadze Univ. Georgia, School Sci. and Technology, Tbilisi, Georgia
G. Tutberidze Univ. Georgia, School Sci. and Technology, Georgia and UiT - The Arctic Univ. Narvik, Norway
P. Wall Lule˚a Univ. Technology, Sweden

DOI: https://doi.org/10.37863/umzh.v73i4.226

Keywords: Vilenkin system, Fejér means, martingale Hardy space, strong convergence

Abstract

UDC 517.5

We prove some new strong convergence theorems for partial sums and Fejér means with respect to the Vilenkin system.

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