Graduation Year

2017

Document Type

Campus Only Senior Thesis

Degree Name

Bachelor of Arts

Department

Mathematics

Reader 1

Winston Ou

Reader 2

Asuman Aksoy

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Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2017 Elena Pinsker

Abstract

The Bellman method is a tool that can be used to solve a wide variety

of problems from harmonic analysis. However, the problem of finding the

Bellman function for a specific problem was originally only possible with a

guess-and-check method, although that problem has since been mitigated.

This paper applies the method pioneered by Vasily Vasyunin of finding the

Bellman function directly to a problem presented in JanineWittwer’s survey

article [5], and also explores how Bellman functions can be used to prove

H˝older’s inequality.

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