On generalized convex functions
Authors:
E. F. Beckenbach and R. H. Bing
Journal:
Trans. Amer. Math. Soc. 58 (1945), 220-230
MSC:
Primary 27.0X
DOI:
https://doi.org/10.1090/S0002-9947-1945-0013169-9
MathSciNet review:
0013169
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References | Similar Articles | Additional Information
- [1] E. F. Beckenbach, Generalized convex functions, Bull. Amer. Math. Soc. vol. 43 (1937) pp. 363-371. MR 1563543
- [2] H. Blumberg, On convex functions, Trans. Amer. Math. Soc. vol. 20 (1919) pp. 40-44. MR 1501114
- [3] W. C. Graustein, Introduction to higher geometry, New York, 1930.
- [4]
G. Hamel, Eine Basis aller Zahlen und die unstetigen Lösungen der Funktionalgleichung
, Math. Ann. vol. 60 (1905) pp. 459-462. MR 1511317
- [5] G. H. Hardy, J. E. Littlewood, G. Pólya, Inequalities, Cambridge, England, 1934.
- [6] J. L. W. V. Jensen, Sur les fonctions convexes et les inégalités entre les valeurs moyennes, Acta Math. vol. 30 (1906) pp. 175-193. MR 1555027
- [7] F. R. Moulton, A simple non-desarguesian plane geometry, Trans. Amer. Math. Soc. vol. 3 (1902) pp. 192-195. MR 1500595
- [8] W. Sierpiński, Sur les fonctions convexes mesurables, Fund. Math. vol. 1 (1920) pp. 125-129.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1945-0013169-9
Article copyright:
© Copyright 1945
American Mathematical Society