Refinements of Jessen’s functional

  • A. Barbir
  • Kruli´c K. Himmelreich
  • J. E. Pečarić

Abstract

We obtain new refinements of Jessen’s functional defined by means of positive linear functionals. The accumulated results are then applied to weighted generalized and power means. We also obtain new refinements of numerous classical inequalities such as the arithmetic-geometric mean inequality, Young’s inequality, and H¨older’s inequality.
Published
25.07.2016
How to Cite
BarbirA., Himmelreich K. K., and PečarićJ. E. “Refinements of Jessen’s Functional”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 7, July 2016, pp. 879-96, http://umj.imath.kiev.ua/index.php/umj/article/view/1888.
Section
Research articles