Some new type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients
arXiv:1504.05974
Abstract
In this paper we prove and discuss some new type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients. We also apply these inequalities to prove strong convergence theorems of such Vilenkin-Nörlund means. These inequalities are the best possible in a special sense. As applications, both some well-known and new results are pointed out.
arXiv admin note: text overlap with arXiv:1503.05396, arXiv:1410.7978, arXiv:1504.05779