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Constrained extremal problems for families of Stieltjes integrals

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Communicated by M. Kac

A portion of this work represents part of the author's doctoral dissertation written at the University of Michigan. I would like to thank Professor Wolfgang H. Fuchs of Cornell University, who pointed out that Theorem 2 could be deduced directly from Theorem 1; Charles A. Micchelli, of I.B.M. Research, for discussion of the ideas in the proof of Lemma 4 and for bringing Fenchel's theorem to my attention; and my thesis advisor, Professor Peter L. Duren, for his assistance in this project.

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Leeman, G.B. Constrained extremal problems for families of Stieltjes integrals. Arch. Rational Mech. Anal. 52, 350–357 (1973). https://doi.org/10.1007/BF00247469

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