MathDB
Miklos Schweitzer 1969_8

Source:

October 15, 2008
functionintegrationreal analysisreal analysis unsolved

Problem Statement

Let f f and g g be continuous positive functions defined on the interval [0,+∞) [0, +\infty), and let E⊂[0,+∞) E \subset[0,+\infty) be a set of positive measure. Prove that the range of the function defined on E×E E \times E by the relation F(x,y)=∫0xf(t)dt+∫0yg(t)dt F(x,y)= %Error. "dispalymath" is a bad command. \int_0^xf(t)dt+ %Error. "dispalymath" is a bad command. \int_0^y g(t)dt has a nonvoid interior. L. Losonczi
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