Bector, C. R.; Chandra, S. (Generalized) bonvexity and higher order duality for fractional programming. (English) Zbl 0638.90095 Opsearch 24, 143-154 (1987). Dual problems associated with a primal nonlinear fractional programming problem are presented that involve second order derivatives of the functions constituting the primal problem. Duality results under the assumptions of bonvexity and generalized bonvexity on the functions involved are proved. Cited in 21 Documents MSC: 90C32 Fractional programming 49N15 Duality theory (optimization) 26B25 Convexity of real functions of several variables, generalizations Keywords:Dual problems; primal nonlinear fractional programming; second order derivatives; bonvexity PDF BibTeX XML Cite \textit{C. R. Bector} and \textit{S. Chandra}, Opsearch 24, 143--154 (1987; Zbl 0638.90095) OpenURL