Necessary and sufficient conditions for inclusion relations for absolute summability


Rhoades B., SAVAŞ E.

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, vol.113, no.3, pp.243-250, 2003 (SCI-Expanded) identifier

Abstract

We obtain a set of necessary and sufficient conditions for |N̄, pn|k to imply |N̄, qn|s for 1 < k ≤ s < ∞. Using this result we establish several inclusion theorems as well as conditions for the equivalence of |N̄, pn|k and |N̄, qn|s.