24
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

On generalized convex functions

Pages 49-60 | Received 01 Jun 1981, Published online: 27 Jun 2007

References

  • Avriel , M. 1972 . r-convex Functions . Mathematical Programming , 2 : 309 – 323 .
  • Bailey , P.B. , Shampine , L.F. and Waltman , P.E. 1968 . Nonlinear Two Point Boundary Value Problems London, New York
  • Beckenbach , E.F. 1937 . Generalized Convex Functions . Bull. Am. Math. Soc , 43 : 363 – 371 .
  • Beckenbach , E.F. and Jackson , L.K. 1953 . Subfunctions of Several Variables . Pacific J. Math , 3 : 291 – 313 .
  • Berge , C. 1966 . Espaces topologiques Paris
  • Bonsall , F.F. 1950 . The Characterization of Generalized Convex Functions . Quart. J. Math. Oxford , 1 ( 2 ) : 100 – 111 .
  • Collatz , L. 1955 . Numerische Behandlung von Differentialgleichungen Berlin Göttingen—Heidelberg
  • Hartwig , H. 1980-1983 . Generalizations of Convexity by means of Modified Secants , 1 – 32 . Budapest : DM Karl Marx University of Economics .
  • Klinger , A. and Mangasarian , O.L. 1968 . Logarithmic Convexity and Geometric Programming . J. Math. Anal. Appl , 24 : 388 – 408 .
  • Martos , B. 1975 . “ Nonlinear Programming ” . In Theory and Methods Budapest
  • Peixoto , M.M. 1949 . Generalized Convex Functions and Second Order Differential Inequalities . Bull. Am. Math. Soc , 55 : 563 – 572 .
  • Roberts , A.W. and Vakbebg , D.E. 1973 . Convex Functions London, New York
  • Scarf , H. The Optimallty of (s, S)-policies in the Dynamic Inventory Problem . Proc. of the First Stanford Symp .
  • Schäl , M. 1972 . Dynamische Optimierung unter Stetigkeits- und Kompaktheitsbedin-gungen , Hamburg : Habilitationsschrift .
  • Walter , W. 1964 . Differential- und Integralungleiehungen Berlin, New York Göttingen,Heidelberg

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.