I would like opinions of the latest draft of my note - Integration

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SUMMARY

The forum discussion centers on Ben's note titled "Evaluation of a Class of n-fold Integrals by Means of Hadamard Fractional Integration," which he seeks feedback on from experienced analysts. The note utilizes a single interpolation theorem from fractional calculus, ensuring accessibility for readers without prior knowledge in the field. Ben emphasizes the inclusion of examples to clarify the concepts presented. He also addresses a specific query regarding a potential omission in Theorem 2.2, asserting that the equation is correct as written.

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  • Understanding of fractional calculus concepts
  • Familiarity with interpolation theorems
  • Basic knowledge of mathematical proof techniques
  • Ability to read and interpret mathematical notation
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  • Research Hadamard fractional integration techniques
  • Study interpolation theorems in fractional calculus
  • Explore advanced topics in n-fold integrals
  • Review mathematical proof writing and analysis
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Mathematics students, researchers in fractional calculus, and professionals seeking to deepen their understanding of n-fold integrals and interpolation theorems.

benorin
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The note is entitled: Evaluation of a Class of n-fold Integrals by Means of Hadamard Fractional Integration. 4 pgs pdf format.

I assure you that you need not know anything about fractional calculus at all to understand this note that Howard Cohl helped me with. We only use a single interpolation theorem from fractional calculus to establish the result. Examples are given.

I was a lowly undergrad (senior math major) when last I was in school so I’d appreciate it if you more experienced Analysis ppl would give my proofs a once over please?

Thank you,
-Ben

I assure you that the attached pdf file does not contain viruses nor malicious macros, etc. just math. Promise.
 

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Images of each page of the pdf I will post here for a safe viewing experience.

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In the equation in Theorem 2.2 are you missing a ##\frac{1}{t}## on the left hand side?
 
Paul Colby said:
In the equation in Theorem 2.2 are you missing a ##\frac{1}{t}## on the left hand side?
I don’t think so. I did look at it tho.
 
Noticed a page was missing from my #2 post in this thread (the screens, not the pdf), it has been edited in.