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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

0 votes
2 answers
230 views

An inequality on length of two curves [closed]

I am looking for a proof, reference, comment of an inequality as follows: If $f(x)$ and $g(x)$ be two continuous derivative funcions in interval $[a, b]$. Such that: $f(a)=g(a)$ and $f( …
Đào Thanh Oai's user avatar
-3 votes
1 answer
387 views

A generalization of Chebyshev's sum inequality

From some my previous questions here and here and well-known rearrangement inequality. I pose an inequality as follows and I am looking for the proof or a reference. Inequality: Let $y=f …
Đào Thanh Oai's user avatar