TY - JOUR AU - A. Barbir AU - Kruli´c K. Himmelreich AU - J. E. Pečarić PY - 2016/07/25 Y2 - 2024/03/28 TI - Refinements of Jessen’s functional JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 68 IS - 7 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1888 AB - We obtain new refinements of Jessen’s functional defined by means of positive linear functionals. The accumulatedresults are then applied to weighted generalized and power means. We also obtain new refinements of numerous classicalinequalities such as the arithmetic-geometric mean inequality, Young’s inequality, and H¨older’s inequality. ER -