Ben-Tal, A. On generalized means and generalized convex functions. (English) Zbl 0325.26007 J. Optimization Theory Appl. 21, 1-14 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 37 Documents MSC: 26A51 Convexity of real functions in one variable, generalizations 62C05 General considerations in statistical decision theory PDF BibTeX XML Cite \textit{A. Ben-Tal}, J. Optim. Theory Appl. 21, 1--14 (1977; Zbl 0325.26007) Full Text: DOI OpenURL References: [1] Hardy, G. H., Littlewood, J. E., andPolya, G.,Inequalities, Cambridge University Press, Cambridge, England, 1934. · Zbl 0010.10703 [2] Avriel, M.,R-Convex Functions, Mathematical Programming, Vol. 2, pp. 309-323, 1972. · Zbl 0249.90063 [3] Martos, B.,Nem-Linéaris Programmozási Módzerek Hátoköre, MTA Közgazdasávtudományi Intézeténk Közlemenyei (in Hungarian), Budapest, Hungary, No. 20, 1966. [4] Avriel, M., andZang, I.,Generalized Convex Functions with Applications in Nonlinear Programming, Mathematical Programs for Activity Analysis, Edited by P. Van Moeseke, Leuven University Press, Leuven, Belgium, 1974. [5] Zang, I.,Generalized Convex Programming, Technion, Israel Institute of Technology, Haifa, Israel, Department of Chemical Engineering, Doctoral Thesis, 1974. [6] Avriel, M.,Solution of Certain Nonlinear Programs Involving r-Convex Functions, Journal of Optimization Theory and Applications, Vol. 11, pp. 159-174, 1973. · Zbl 0247.90053 [7] Aczel, J.,Lectures on Functional Equations and Their Applications, Academic Press, New York, New York, 1966. [8] Beckenbach, E. F., andBelman, R.,Inequalities (2nd Edition), Springer-Verlag, New York, New York, 1965. [9] Ferguson, T. S.,Mathematical Statistics, A Decision Theoretic Approach, Academic Press, New York, New York, 1967. · Zbl 0153.47602 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.