On ( h(n)) summability methods.

Kuttner, B.; Sukla, I. L.

In 1967 Segal introduced the Dirichlet convolution (, h(n)), generalizing a method of Ingham developed in studies on the Prime Number Theorem. In this paper we establish necessary and sufficient conditions on the sequence h(n) in order that the convolution method (, h(n)) be conservative. Further conditions are established for the method to be absolutely conservative.

Mathematical Proceedings of the Cambridge Philosophical Society, 1985, Vol 97, Issue 2, p189

0305-0041

Academic Journal

10.1017/S0305004100062745