References

AN INEQUALITY FOR LEGENDRE TRANSFORMATION


[1] V. I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag, New York, (1978), 14-16.

[2] J. P. Crouzeix and J. A. Ferland, Criteria for quasiconvexity and pseudoconvexity: Relationships and comparisons, Math. Programming 23 (1982), 193-205.

[3] G. Giorgi, A note on quasiconvex functions that are pseudoconvex, Trabajos de Investigación Operativa 2 (1987), 111-116.

[4] H. Goldstein, C. Poole and J. Safko, Classical Mechanics, 3rd Edition, Addison Wesley, (2000), 313.

[5] J.-B. Hiriart-Urruty and C. Lemaréchal, Convex Analysis and Minimization Algorithms I, Springer, 1993.

[6] D. G. Luenberger, Quasi-Convex Programming, SIAM J. Appl. Math. 16 (1968), 1090-1095.

[7] O. L. Mangasarian, Nonlinear Programming, McGraw-Hill, New York, 1969.

[8] B. Martos, Nonlinear Programming, Theory and Methods, North-Holland Pub. Co., 1975.

[9] C. P. Niculescu and L.-E. Persson, Convex Functions and their Applications: A Contemporary Approach, Springer, 2004.

[10] R. K. P. Zia, E. F. Redish and S. R. McKay, Making Sense of the Legendre Transform (2009). arXiv:0806.1147v2