Том 70
№ 6

All Issues

Pečarić J. E.

Articles: 3
Article (English)

Refinements of Jessen’s functional

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

↓ Abstract

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.

Article (English)

Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

Pečarić J. E., Perušić A., Smoljak K.

↓ Abstract

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.

Article (Ukrainian)

Certain inequalities for concave functions and concave sequences

Pečarić J. E., Vasic P. M.

Full text (.pdf)

Ukr. Mat. Zh. - 1981. - 33, № 5. - pp. 660—664