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

Ruslan Sharipov

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

Classical Analysis and ODEs 2010-08-10 v1 Functional Analysis

Authors: Ruslan Sharipov

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.

Keywords

khabibullin's conjecture integral inequalities direct conversion formula inverse conversion formula non-negative continuous function

Cite

@article{arxiv.1008.1572,
  title  = {Direct and inverse conversion formulas associated with Khabibullin's conjecture for integral inequalities},
  author = {Ruslan Sharipov},
  journal= {arXiv preprint arXiv:1008.1572},
  year   = {2010}
}

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AmSTeX, 7 pages, amsppt style

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

Abstract

Keywords

Cite

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