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Integral means and Pólya factorizations
Author(s):
Uri
Elias
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2071-2075.
MSC (1991):
Primary 26A06, 26D10, 34A30
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:
- [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:
10.1090/S0002-9939-98-04574-2
PII:
S 0002-9939(98)04574-2
Keywords:
Integral means,
P\'{o}lya factorization
Received by editor(s):
January 1, 1997
Communicated by:
Hal L. Smith
Copyright of article:
Copyright
1998,
American Mathematical Society
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