Pečarić J. E.
Ukr. Mat. Zh. - 2016. - 68, № 7. - pp. 879-896
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.
Ukr. Mat. Zh. - 2015. - 67, № 11. - pp. 1525-1539
We obtain generalizations of Steffensen’s inequality by using Lidstone’s polynomials. Furthermore, the functionals associated with the obtained generalizations are used to generate n-exponentially and exponentially convex functions, as well as the new Stolarsky-type means.
Ukr. Mat. Zh. - 1981. - 33, № 5. - pp. 660—664