On a General Inequality with Applications

  • D.S. Mitrinovic

    Beograd, Serbia
  • J. Pečarić

    University of Zagreb, Croatia
  • L.E. Persson

    Lulea University, Sweden

Abstract

A general set-valued inequality is proved in two analogical forms. As applications we obtain some simple inequalities for convex, concave, subadditive and superadditive functions. We also point out that some classical inequalities (e.g., those by Minkowski and by Beckenbach and Dresher) and some fairly new results (e.g. by Pearic and Beesack [7] and Peetre and Persson [81) are special cases of our results.

Cite this article

D.S. Mitrinovic, J. Pečarić, L.E. Persson, On a General Inequality with Applications. Z. Anal. Anwend. 11 (1992), no. 2, pp. 285–290

DOI 10.4171/ZAA/605