In this article we discuss the behaviour of Θ-means of quadratical partial sums of double
Walsh series of a function in Lp (G2)(1⩽ p⩽∞). In case p=∞ by Lp (G2) we mean C, the …

In this paper, we introduce some new weighted maximal operators of the Fejér means of the
Walsh–Fourier series. We prove that for some “optimal” weights, these new operators …

We discuss the behaviour of the Θ-means of Walsh series of a function in L p (1≤ p≤∞).
We investigate the rate of the approximation by this means, in particular, in Lip (α, p), where …

We prove that there exists a martingale f∈ H p such that the subsequence {L 2 nf} of
Nörlund logarithmic means with respect to the Walsh system are not bounded from the …

In the present paper we discuss the rate of the approximation by the matrix transform of
special partial sums of some two-dimensional rectangle (decreasing diagonal) Walsh …

In this paper we improve and complement a result by M\'oricz and Siddiqi\cite {Mor}. In
particular, we prove that their inequality of the N\" orlund means with respect to the Walsh …

In the present paper, we discuss the rate of the approximation by Marcinkiewicz-type matrix
transform of Vilenkin–Fourier series in L p (G m 2) spaces (1≤ p<∞) and in C (G m 2) …

In this paper, we investigate convergence and divergence of partial sums with respect to the
2-dimensional Walsh system on the martingale Hardy spaces. In particular, we find some …

ON THE NORLUND LOGARITHMIC MEANS WITH RESPECT TO VILENKIN SYSTEM IN THE
MARTINGALE HARDY SPACE H1 Page 1 Acta Math. Hungar. DOI: 0 ON THE NORLUND …

In this paper we derive a new strong convergence theorem of Riesz logarithmic means of
the one-dimensional Vilenkin–Fourier (Walsh–Fourier) series. The corresponding inequality …