I. Blahota

works on

fejér kernels 1 harmonic analysis 1 l1 norm 1 supremum 1 walsh-kaczmarz system 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.CA2026

Almost everywhere convergence of subsequences of Walsh-Nörlund means

István Blahota

Let ${q_{k} : k \in N}$ be a non-increasing and convex sequence of non-negative numbers such that $q_{0} > 0$ . Our main result is to prove almost everywhere convergence \[ t_…

math.CA2026

The exact $L_{1}$ -norm supremum of Walsh--Kaczmarz--FejÃ©r kernels

IstvÃ¡n Blahota

The paper determines the exact L1‑norm supremum of Fejér kernels for the Walsh–Kaczmarz system, proving a limit of 4/3 for dyadic indices and a global supremum of 71/50.

math.CA2026

Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums

Istvan Blahota, Gyorgy Gat

We prove an almost everywhere divergence theorem for CesÃ ro means of subsequences of partial sums of Walsh--Fourier series. More precisely, we show that there exists a strictly in…

Almost everywhere convergence of subsequences of Walsh-Nörlund means

The exact L1​-norm supremum of Walsh--Kaczmarz--FejÃ©r kernels

Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums

The exact $L_{1}$ -norm supremum of Walsh--Kaczmarz--FejÃ©r kernels