2017
Том 69
№ 5

All Issues

Refinements of Jessen’s functional

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


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.

Citation Example: Barbir A., Himmelreich Kruli´c K., Pečarić J. E. Refinements of Jessen’s functional // Ukr. Mat. Zh. - 2016. - 68, № 7. - pp. 879-896.