On the maximum transform and semigroups of transformations

Bellman, Richard; Karush, William

doi:10.1090/S0002-9904-1962-10802-7

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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On the maximum transform and semigroups of transformations
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by Richard Bellman and William Karush PDF

Bull. Amer. Math. Soc. 68 (1962), 516-518

References

Edwin F. Beckenbach and Richard Bellman, Inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 30, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0158038
Richard Bellman, Dynamic programming, Princeton University Press, Princeton, N. J., 1957. MR 0090477
Richard Bellman and William Karush, On a new functional transform in analysis: the maximal transform, Bull. Amer. Math. Soc. 67 (1961), 501–503. MR 131685, DOI 10.1090/S0002-9904-1961-10657-5
W. Fenchel, On conjugate convex functions, Canad. J. Math. 1 (1949), 73–77. MR 28365, DOI 10.4153/cjm-1949-007-x
William Karush, A general algorithm for the optimal distribution of effort, Management Sci. 9 (1962/63), 50–72. MR 148469, DOI 10.1287/mnsc.9.1.50

Additional Information

Journal: Bull. Amer. Math. Soc. 68 (1962), 516-518
DOI: https://doi.org/10.1090/S0002-9904-1962-10802-7
MathSciNet review: 0152768