5 papers
Strong convergence theorem for Walsh-Kaczmarz-Fejér means
Nata Gogolashvili, Károly Nagy, George Tephnadze
As main result we prove that Fejér means of Walsh-Kaczmarz-Fourier series are uniformly bounded operators from the Hardy martingale space to the Hardy martingale space $H…
The existence and unicity of numerical solution of initial value problems by Walsh polynomials approach
Károly Nagy
Chen and Hsiao gave the numerical solution of initial value problems of systems of linear differential equations with constant coefficients by Walsh polynomials approach. This resu…
Restricted summability of the multi-dimensional Cesàro means of Walsh-Kaczmarz-Fourier series
Károly Nagy, Mohamed Salim
The properties of the maximal operator of the -means () of the multi-dimensional Walsh-Kaczmarz-Fourier series are discussed, where the set of indices is…
A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces
I. Blahota, K. Nagy, L. E. Persson +1
The restricted maximal operators of partial sums with respect to bounded Vilenkin systems are investigated. We derive the maximal subspace of positive numbers, for which this opera…
Strong Approximation by Marcinkiewicz Means of two-dimensional Walsh-Kaczmarz-Fourier Series
Ushangi Goginava, Karoly Nagy
In this paper we study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Walsh-Kaczmarz-Fourier series. In particular, it is proved that the Mar…