Sequence and Series of Function Topics: 1. Sequence of Functions (pointwise convergence) 2. Uniform Convergence (Cauchy Criterion) 3.Series of Functions.
sir video lecture No. 3 say that supremum value belongs to lower integral and Infrimum value belong to upper integral then video lecture 4 says the opposite side
As the refinement of partition increases the lower sum and decreases the upper sum, then the supremum ( least upper bound) of lower sum over all the partition P is defined as Lower Integrals and infimum ( greatest lower bound) of upper sum over all the partition P is defined as upper Integral. Please don't get confused.
Sir is explaining with logic... Not just like other teachers who just jotting the lines..❤❤❤
Thanks you sir ...... your explanation is very helpful 👍
Thank you sir for making this helpful video 👍
This made my final semester clear thanks
Happy to know this. 😊 Keep learning 👍 Thank you for your feedback.
Keep it up sir ❤ ... Your explanation is very good
Thank you for your feedback
Can this use at reimann stelze
Durgeshwari Ronge.....👌👌
Please continue sir... Waiting for more lecture
Okay. On what topics you want the lectures?
Sequence and Series of Function
Topics:
1. Sequence of Functions (pointwise convergence)
2. Uniform Convergence (Cauchy Criterion)
3.Series of Functions.
Nice lecture sir
Thank you sir...
Thank you sir
Keep it up sir.... your explanation very helpful sir..
sir video lecture No. 3 say that supremum value belongs to lower integral and Infrimum value belong to upper integral then video lecture 4 says the opposite side
As the refinement of partition increases the lower sum and decreases the upper sum, then the supremum ( least upper bound) of lower sum over all the partition P is defined as Lower Integrals and infimum ( greatest lower bound) of upper sum over all the partition P is defined as upper Integral.
Please don't get confused.
@@AkshayJenekar thank you very much, sir
@@learnandimpliment2.092 keep learning 👍 and keep asking your doubt in order to understand any topic completely.
Iske related questions nhi hai is playlist me
Thanku sir
Love you sir ji
Do u know Ashoutosh Agrawal( AHA sir)?
No. Is He also a teacher of Mathematics Subject?
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❤❤❤❤❤😂
Thank you sir ....
thank u sir ji
Thank u sir
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Thank you sir....