Some Remarks on Generalized Convexity of Sums and Products
Copyright policy )Some Remarks on Generalized Convexity of Sums and Products
In this note conditions are derived that exclude or guarantee the quasiconvexity or explicit quasiconvexity (quasiconcavity) of sums of absolute and relative terms, and of corresponding products, too. These conditions generalize results by \textit{S. Schaible} [Z. Angew. Math. Mech. 64, No.8, 363-364 (1984)] and by the author [Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg, Math.-Naturwiss. Reihe 32, No.5, 91-99 (1983; Zbl 0528.90080)].
explicit quasiconvexity, quasiconcavity, composite objective functions, Fractional programming, Convexity of real functions of several variables, generalizations
explicit quasiconvexity, quasiconcavity, composite objective functions, Fractional programming, Convexity of real functions of several variables, generalizations
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