3 papers
math.CA2016
Improved Jensen-type inequalities via linear interpolation and applications
Daeshik Choi, Mario Krnić, Josip Pecarić
In this paper we develop a general method for improving Jensen-type inequalities for convex and, even more generally, for piecewise convex functions. Our main result relies on the…
math.CA2014
On Hölder and Minkowski Type Inequalities
Petr Chunaev, Ljiljanka Kvesić, Josip Pečarić
We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of non-negative weights.
math.FA2014
Weighted opial inequalities for widder derivatives
Sajid Iqbal, Josip Pecarić
In this paper, we establish some new general Opial inequalities for Widder derivatives.