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arXiv · 1008.1572

Direct and inverse conversion formulas associated with Khabibullin's conjecture for integral inequalities

Ruslan Sharipov
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Abstract

Khabibullin's conjecture deals with two linear integral inequalities for some non-negative continuous function $q(t)$. The integral in the first of these two inequalities converts $q(t)$ into another function of one variable $g(t)$. This integral yields the direct conversion formula. An inverse conversion formula means a formula expressing $q(t)$ back through $g(t)$. Such an inverse conversion formula is derived.

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Ruslan Sharipov. 2010-08-09. Direct and inverse conversion formulas associated with Khabibullin's conjecture for integral inequalities. https://arxiv.org/abs/1008.1572

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