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Integral means and Pólya factorizations


Author: Uri Elias
Journal: Proc. Amer. Math. Soc. 126 (1998), 2071-2075
MSC (1991): Primary 26A06, 26D10, 34A30
DOI: https://doi.org/10.1090/S0002-9939-98-04574-2
MathSciNet review: 1469404
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Abstract: Integral means of functions and their derivatives are studied. We find a relation between integral means and the Pólya factorization of ordinary linear differential operators.


References [Enhancements On Off] (What's this?)

  • [Cop] Coppel, W. A., Disconjugacy, Lecture Notes in Math., vol. 200, Springer Verlag, Berlin, 1971. MR 57:778
  • [Mit] Mitrinovic, D. S., Analytic inequalities, Springer Verlag, Berlin, 1970. MR 43:448
  • [Pol] Pólya, G., On the mean value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1924), 312-324.
  • [Tre] Trench, W. F., Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1974), 319-327. MR 48:8969

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Additional Information

Uri Elias
Affiliation: Department of Mathematics, Technion, Haifa 32000, Israel
Email: elias@techunix.technion.ac.il

DOI: https://doi.org/10.1090/S0002-9939-98-04574-2
Keywords: Integral means, P\'{o}lya factorization
Received by editor(s): January 1, 1997
Communicated by: Hal L. Smith
Article copyright: © Copyright 1998 American Mathematical Society

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