ON 2 ABSOLUTE RIESZ-SUMMABILITY FACTORS OF INFINITE SERIES

This paper gives a necessary and sufficient condition in order that a series SIGMAa(n)epsilon(n) should be summable \R,q(n)\ whenever SIGMAa(n) is summable \R,p(n)\k , k greater-than-or-equal-to 1 , and so extends the known result of Bosanquet to the case k > 1.