- 1 Let F And G Be Positive Functions On An Interval A B Suppose That Both F And G Are Bounded Above A Prove The F 1 (18.33 KiB) Viewed 35 times
1. Let f and g be positive functions on an interval [a, b]. Suppose that both f and g are bounded above. (a) Prove the f
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1. Let f and g be positive functions on an interval [a, b]. Suppose that both f and g are bounded above. (a) Prove the f
1. Let f and g be positive functions on an interval [a, b]. Suppose that both f and g are bounded above. (a) Prove the following inequality: sup (f(x)g(x)) < ze [a,b] ƒ(2)). (₂ sup f(x) zE[a,b] sup g(x) zE[a,b] (b) Find an example of two positive functions f and g which are both bounded above and for which the inequality in part (a) is strict.
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