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\(r\)-convex functions. (English) Zbl 0249.90063

MSC:
90C25 Convex programming
52A05 Convex sets without dimension restrictions (aspects of convex geometry)
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[1] K.J. Arrow and A.C. Enthoven, ”Quasi-concave programming,”Econometrica 29 (1961) 779–800. · Zbl 0104.14302 · doi:10.2307/1911819
[2] R.G. Bartle,The elements of real analysis (John Wiley & Sons, 1964). · Zbl 0116.32302
[3] W. Fenchel, ”Convex cones, sets and functions,”Lecture notes (Princeton University, 1953). · Zbl 0053.12203
[4] G.H. Hardy, J.E. Littlewood and G. Polya,Inequalities (Cambridge University Press, 1967).
[5] A. Klinger and O.L. Mangasarian, ”Logarithmic convexity and geometric programming,”Journal of Mathematical Analysis and Applications 24 (1968) 388–408. · Zbl 0301.90034 · doi:10.1016/0022-247X(68)90039-5
[6] O.L. Mangasarian, ”Pseudo-convex functions,”SIAM Journal on Control, Ser. A, 3 (1965) 281–290. · Zbl 0138.15702
[7] B. Martos, ”Nem-lineáris programmozási Módszerek Hatóköre,” (the power of nonlinear programming methods) MTA Közgazdaságtudományi Int\.ezet\.enek Közlem\.enyei No. 20 (Budapest, 1966) (in Hungarian).
[8] J. Ponstein, ”Seven kinds of convexity,”SIAM Review 9 (1967) 115–119. · Zbl 0164.06501 · doi:10.1137/1009007
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