A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series

Abstract

The main aim of this paper is to investigate Paley type and Hardy-Littlewood type inequalities and strong convergence theorem of partial sums of Vilenkin-Fourier series.

Vilenkin system, Fourier coefficients, partial sums, martingale Hardy space

Cited by in corpus (3)

• The One-dimensional Martingale Hardy Spaces and Partial Sums and Fejér Means with respect to Walsh system
• On the Partial Sums and Marcinkiewicz and Fejér Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces
• Some new resuts on strong convergence of Fejér means with respect to Vilenkin systems