Solving for a Bellman Function

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...

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Main Author: Pinsker, Elena
Format: Others
Published: Scholarship @ Claremont 2017
Subjects:
Mathematics
Online Access:http://scholarship.claremont.edu/scripps_theses/1075
http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2024&context=scripps_theses
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spelling ndltd-CLAREMONT-oai-scholarship.claremont.edu-scripps_theses-20242017-05-25T03:30:17Z Solving for a Bellman Function Pinsker, Elena 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. 2017-01-01T08:00:00Z text application/pdf http://scholarship.claremont.edu/scripps_theses/1075 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2024&context=scripps_theses © 2017 Elena Pinsker default Scripps Senior Theses Scholarship @ Claremont Mathematics
collection NDLTD
format Others
sources NDLTD
topic Mathematics
spellingShingle Mathematics
Pinsker, Elena
Solving for a Bellman Function
description 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.
author Pinsker, Elena
author_facet Pinsker, Elena
author_sort Pinsker, Elena
title Solving for a Bellman Function
title_short Solving for a Bellman Function
title_full Solving for a Bellman Function
title_fullStr Solving for a Bellman Function
title_full_unstemmed Solving for a Bellman Function
title_sort solving for a bellman function
publisher Scholarship @ Claremont
publishDate 2017
url http://scholarship.claremont.edu/scripps_theses/1075
http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2024&context=scripps_theses
work_keys_str_mv AT pinskerelena solvingforabellmanfunction
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