Date of Award
Master of Science
One of the most interesting discussions in Analysis is that of sequences and series.
Ernesto Cesaro (1859 - 1906) did some interesting work on this topic in Analysis, sequences and series. He was very curious and full of ideas concerning an attempt to generalize the concept of the sum of a convergent sequence for divergent sequences also. He, no doubtly, asked himself many questions, such as, if the sequence does not converges, why? If certain operations are performed on the sequence, do such operations change the convergence or divergence of the sequence? Etc.
In this paper, the writer intends to answer some of Cesaro's probable questions with proofs. In order to follow these proofs, the definitions and notations found in Chapter II will be used.
R. M. Whitmore
A. D. Stewart
Prairie View A&M College
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Date of Digitization
John B Coleman Library
City of Publication
Neal, W. (1969). Some Theorems on Cesaro Regular Summability Method for Sequences and Series. Retrieved from https://digitalcommons.pvamu.edu/pvamu-theses/1406