Special Function Classes

  • Tamás Rapcsák
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 19)


In this Chapter, special function classes are studied. First, geodesic (strictly) quasiconvex, geodesic (strictly) pseudoconvex and the difference of two geodesic convex functions are introduced, then convex transformable functions, involving range and domain transformations as well, are treated. These results were mainly published in Rapcsák (1994). In the last section, the structure of smooth pseudolinear functions is characterized, i.e., the explicit formulation of the gradients of smooth pseudolinear functions is given (Rapcsák, 1991). In the next Chapter, it will be shown that this result is the solution of Fenchel problem of level sets in a special case.


Quasiconvex Function Global Minimum Point Geodesic Convex Pseudoconvex Function Semistrictly Quasiconvex 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Tamás Rapcsák
    • 1
  1. 1.Computer and Automation Institute of Hungarian Academy of SciencesBudapestHungary

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