Date of Award


Document Type


Degree Name

Master of Science

Degree Discipline



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.

Committee Chair/Advisor

R. M. Whitmore

Committee Member

A. D. Stewart


Prairie View A&M College


© 2021 Prairie View A & M University

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Date of Digitization


Contributing Institution

John B Coleman Library

City of Publication

Prairie View





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