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What is Understanding Bounded Variation in Functions about?

A real-valued function f on a closed interval [a,b] is of bounded variation if its total variation Vab(f) is finite. Every monotonic function is of bounded variation, and functions of bounded variation can be expressed as the difference of two monotonic increasing functions. Additionally, functions of bounded variation are continuous except at countably many points and are Riemann–Stieltjes integrable with respect to any continuous function.

Author
ghoshdibu27
Language
EN