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An integral inequality with an application to ordinary differential operators*

  • W. N. Everitt (a1)


This paper is concerned with integral inequalities of the form

where p, q are real-valued coefficients, with p and w non-negative, on the compact interval [a, b] and D is a linear manifold of functions so chosen that all three integrals are absolutely convergent.



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4Glazman, I. M.Direct methods for the qualitative spectral analysis of singular differential operators (Jerusalem: Israel Program Sci. Transl., 1965).
5Goldberg, S.Unbounded linear operators (New York: McGraw-Hill, 1966).
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12Titchmarsh, E. C.Eigenfunction expansions associated with second-order differential equations I (Oxford: University Press, 1962).

An integral inequality with an application to ordinary differential operators*

  • W. N. Everitt (a1)


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