Introduction to Riemann-Stieltjes Integration

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In this video we define R-S sums and provide the definition for R-S integral. We talk about the most simple case and provide a result functions which are R-S integrable with respect to a step function with a single step.
  1. Grant Lathrom
  2. advanced calculus
  3. real analysis
  4. riemann-stieltjes integraion
  5. riemann integration
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Комментарии
Автор

This video is fire. Exceptionally clear explanation.

benjibenjiman
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What is the difference between Riemann Stieltjes integral (defined using Riemann-Stieltjes sum) and Darboux Stieltjes integral (defined using upper darboux stieltjes sum and lower darbouxstieltjes sum )???
Or Are they equivalent ??

maikellaishram
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Great overview. What app are you using in this video?

dchartier
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Can anyone help to distinguish in the video here between instances of ε ( as in epsilon-delta notation) and ϵ (indicating membership) ?

duncanrichardson
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Grant: Will you continue posting videos on this subject?

gustavobagu
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let f be a real valued function define on [0 and 1]. such that, f(0) > 0, f(x) ≠ x for all x, and f(x) ≤ f(y). let a ={x: f(x) > x}. prove that sup a element of a and that f(x) > x

renzcalma