Chebyshev type inequalities for pseudo-integrals (Q847325)

During the last two decades we are witnesses of the generalization of integrals, such ones are called pseudo-integrals. The main difference between Lebesgue integrals and pseudo-ones is that instead of addition and multiplication, the latter deals with ``max'' and ``min'', respectively. In the first part previous results on pseudo-operations are reviewed. Then the paper deals with the proof of the Chebyshev-type inequalities of the form \(\int_{[0,1]}^\oplus (u\odot v)\,dx\,dx \geq (\int_{[0,1]}^\oplus u\,dx)\odot (\int_{[0,1]}^\oplus v\,dx)\) and others.