A Definition for Strong Rieszian Summability and its Relationship to Strong Cesaro Summability

Abstract

1. Introduction . Given a series we define , by the relations The series Σa n is said to be summable ( C, k ) to the sum s , if as n →∞, and strongly summable ( C, k ), k >0, with index p , to the sum s , or summable [ C; k, p ] to the sum s , if