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arXiv · 1008.2738

A counterexample to Khabibullin's conjecture for integral inequalities

Ruslan Sharipov
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Abstract

Khabibullin's conjecture for integral inequalities has two numeric parameters $n$ and $α$ in its statement, $n$ being a positive integer and $α$ being a positive real number. This conjecture is already proved in the case where $n>0$ and $0<α\leq 1/2$. However, for $α>1/2$ it is not always valid. In this paper a counterexample is constructed for $n=2$ and $α=2$. Then Khabibullin's conjecture is reformulated in a way suitable for all $α>0$.

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BibTeXRIS

Ruslan Sharipov. 2010-08-16. A counterexample to Khabibullin's conjecture for integral inequalities. https://arxiv.org/abs/1008.2738

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