Carlson-Levin Constant

N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.

Assume that is a Nonnegative Real function on and that the twointegrals

(1)

(2)

(3)

(4)

(5)

			(6)
			(7)
			(8)

References

Beckenbach, E. F.; and Bellman, R. Inequalities. New York: Springer-Verlag, 1983.

Boas, R. P. Jr. Review of Levin, V. I. ``Exact Constants in Inequalities of the Carlson Type.'' Math. Rev. 9, 415, 1948.

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/crlslvn/crlslvn.html

Levin, V. I. ``Exact Constants in Inequalities of the Carlson Type.'' Doklady Akad. Nauk. SSSR (N. S.) 59, 635-638, 1948. English review in Boas (1948).

Mitrinovic, D. S.; Pecaric, J. E.; and Fink, A. M. Inequalities Involving Functions and Their Integrals and Derivatives. Kluwer, 1991.

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