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Solving for a Bellman Function

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.

Identiferoai:union.ndltd.org:CLAREMONT/oai:scholarship.claremont.edu:scripps_theses-2024
Date01 January 2017
CreatorsPinsker, Elena
PublisherScholarship @ Claremont
Source SetsClaremont Colleges
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceScripps Senior Theses
Rights© 2017 Elena Pinsker, default

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