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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| Format: | Others |
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Scholarship @ Claremont
2017
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| Online Access: | http://scholarship.claremont.edu/scripps_theses/1075 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2024&context=scripps_theses |
| Summary: | 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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