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50:12
YouTube
Dr P K Chaurasia
INTEGRABILITY
This lecture discusses integrability, focusing on Riemann and Riemann-Stieltjes integrals, and criteria for determining if a function is integrable. Refinement of a partition ($P^$) increases the lower sum and decreases the upper sum: $L(P,f,alpha) le L(P^,f,alpha)$ and $U(P,f,alpha) ge U(P^*,f,alpha)$. For any two partitions $P$ and $Q$, every ...
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Square-integrable Function Examples
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