Refinements of Jessen’s functional
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.