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UDC 519.85

© Prudnikov V. Ya., 2007

On the exact estimation of the ratio of two functionals on the convex set

The work proves that greatest lower bound of the division concave and protuberant functionals is attained on the extreme points of the protuberant set of the reflexive Banah space. The criterion of belonging the element to the extreme point set is given in the work.

References:

  1. Tikhomirov V. M. Nekotorye voprosy teorii priblizheniy. M., 1975.
  2. Kufner A., Fuchik S. Nelineynye differentsial`nye uravneniya. M., 1988.
  3. Vasil`ev F. P. Metody resheniya ekstremal`nykh zadach. M., 1981.
  4. Gehring F. W. The Lp- integrability of the partial derivatives of a quasiconformal mapping. Acta Math. 1973. V. 130.
  5. Korenovskiy A. A. O tochnom prodolzhenii obratnogo neravenstva Gel`dera i usloviya Makenkhaupta // Matematicheskie zametki. 1992. T. 52. Vyp. 6.

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