Christiano, John G.||Beach, James W.
M.S. (Master of Science)
Department of Mathematics
The object of this paper is to establish theorems as related to Cesáro - 1 and Cesáro - 2 summability, also known as the method of arithmetic means. This paper includes Cesáro summability as related to certain divergent series and divergent improper integrals. Also included in this investigation are examples which help to clarify the definitions and theorems. This study serves as a starting place for analyzing the various orders of Cesáro summability. The paper will give a basis from which various types of summability problems in mathematics may be approached.
Green, Everette A., "The first two orders of Cesáro summability as related to divergent series and divergent improper integrals" (1965). Graduate Research Theses & Dissertations. 5774.
iii, 23 pages
Northern Illinois University
Rights Statement 2