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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Some means of convex bodies
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by W. J. Firey PDF
Trans. Amer. Math. Soc. 129 (1967), 181-217 Request permission
References
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  • Alexander Dinghas, Zum Minkowskischen Integralbegriff abgeschlossener Mengen, Math. Z. 66 (1956), 173–188 (German). MR 92170, DOI 10.1007/BF01186606
  • Alexander Dinghas, Minkowskische Summen und Integrale. Superadditive Mengenfunktionale. Isoperimetrische Ungleichungen, MĂ©mor. Sci. Math., Fasc. 149, Gauthier-Villars, Paris, 1961 (German). MR 0132456
  • Wm. J. Firey, $p$-means of convex bodies, Math. Scand. 10 (1962), 17–24. MR 141003, DOI 10.7146/math.scand.a-10510
  • William J. Firey, Polar means of convex bodies and a dual to the Brunn-Minkowski theorem, Canadian J. Math. 13 (1961), 444–453. MR 177350, DOI 10.4153/CJM-1961-037-0
  • William J. Firey, Mean cross-section measures of harmonic means of convex bodies, Pacific J. Math. 11 (1961), 1263–1266. MR 140003
  • William J. Firey, Some applications of means of convex bodies, Pacific J. Math. 14 (1964), 53–60. MR 161220
  • Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
    • G. Hardy, J. Littlewood and G. PĂłlya, Inequalities, Cambridge Univ. Press, Cambridge, 1934.
  • H. Hadwiger, Vorlesungen ĂĽber Inhalt, Oberfläche und Isoperimetrie, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). MR 0102775
    • A. Kolmogoroff, Sur la notion de la moyenne, Atti Accad. Naz. Lincei (6) 12 (1930), 388-391. J. L. W. V. Jensen, Om konvekse Funktioner og Uligheder imellem Middelvaerdier, Nyt Tidsskrift Mat. B 16 (1905), 49-68. B. Jessen, Bemaerkninger om konvekse Funktioner og Uligheder imellem Middelvaerdier. I, II, Mat. Tidsskrift B (1931), 17-28; 84-95. M. Nagumo, Ăśber eine Klasse der Mittelwerte, Japan. J. Math. 7 (1930), 71-79.
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Additional Information
  • © Copyright 1967 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 129 (1967), 181-217
  • MSC: Primary 52.25
  • DOI: https://doi.org/10.1090/S0002-9947-1967-0234349-8
  • MathSciNet review: 0234349