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A note on K-convex functions. (English) Zbl 0491.90046


MSC:

90B30 Production models
26A51 Convexity of real functions in one variable, generalizations
90B05 Inventory, storage, reservoirs
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[1] Arrow, K., S. Karlin andH. Scarf: Studies in the Mathematical Theory of Inventory and Production. Stanford, Calif., 1958. · Zbl 0079.36003
[2] Arrow, K., S. Karlin andP. Suppes: Mathematical Methods in the Social Science. Stanford, Calif., 1960. · Zbl 0100.14904
[3] Artin, E.: The Gamma Function. New York 1964. · Zbl 0144.06802
[4] Bertsekas, D.: Dynamic Programming and Stochastic Control. New York 1976. · Zbl 0549.93064
[5] Bourbaki, N.: Eléments de Mathématique, Livre IV: Fonctions d’une variable réelle. Paris 1958.
[6] Hinderer, K.: On Characterizing Convex Functions By One-Sided Derivatives. Preprint, University of Karlsruhe, 1981.
[7] Jacquette, D.: A Discrete-Time Population-Control Model with Set-up Cost. Oper. Res.22, 1974, 298–303. · Zbl 0275.92006 · doi:10.1287/opre.22.2.298
[8] Roberts, A., andD. Varberg: Convex Functions. New York-London 1973.
[9] Schäl, M.: On The Optimality Of (s, S)-Policies In Dynamic Inventory Models With Finite Horizon. SIAM J. Appl. Math.30 (3), 1976, 528–537. · Zbl 0333.90015 · doi:10.1137/0130048
[10] Scheeffer, L.: Zur Theorie der stetigen Funktionen einer reellen Veränderlichen. Acta Math.5, 1884, 183–194. · JFM 16.0340.01 · doi:10.1007/BF02421556
[11] Tijms, H.C.: Analysis Of (s, S) Inventory Models. Math. Centre Tract40, Math. Centrum Amsterdam, 1976. · Zbl 0353.60092
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