Davit Baramidze, Salome Gabisonia, Nato Nadirashvili, Medea Tsaava

Norm Convergence for Some Classical Summability Methods in Lebesgue Spaces

abstract:
In the paper, we prove norm convergence of Nörlund means and $T$-means in Lebesgue spaces for any $1\leq p<\infty$.

Mathematics Subject Classification: 42C10

Key words and phrases: Vilenkin system, Fejér means, Nörlund means, $T$-means