On the absolute summability factors of infinite series involving quasi-power-increasing sequences

In this paper, we prove two theorems on |A|k,k≧1|A|k,k≧1, summability factors for an infinite series by replacing a Riesz matrix with a lower triangular matrix and using quasi-power-increasing sequences instead of almost increasing sequences. We obtain sufficient conditions for ∑anλn∑anλn to be summable |A|k|A|k, k≧1k≧1, by using quasi-ff-increasing sequences.