It is shown that partial sums of Walsh-Kaczmarz-Fourier series of functions in the Orlicz class L(log+ L)2 converge a.e. The proof utilizes an estimate of P. Sjölin on the partial sums of the usual ...
Fourier series have long served as a cornerstone for representing periodic functions through harmonic components. In higher dimensions, these tools become indispensable for analysing complex systems, ...
In this article, the authors investigate the complete convergence and complete moment convergence of the maximum partial sums for arrays of rowwise asymptotically almost negatively associated random ...