Warianty tytułu
Języki publikacji
Abstrakty
New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.(original abstract)
Twórcy
autor
- University of Split, Croatia
autor
- Croatian Academy of Sciences and Arts, Croatia
Bibliografia
- Abramovich, S., M. Klaričić Bakula, M. Matić, and J. Pečarić, A variant of Jensen-Steffensen's inequality and quasi-arithmetic means, J. Math. Anal. Appl. 307 (2005), no. 1, 370-386.
- Mitrinović, D.S., J.E. Pečarić, and A.M. Fink, Classical and New Inequalities in Analysis, Mathematics and its Applications (East European Series), 61, Kluwer Academic Publishers Group, Dordrecht, 1993.
- Pečarić, J.E., On the Ostrowski generalization of Čebyšev's inequality, J. Math. Anal. Appl. 102 (1984), no. 2, 479-487.
- Pečarić, J.E., F. Proschan, and Y.L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Mathematics in Science and Engineering, 187, Academic Press, Inc., Boston, MA, 1992.
- Steffensen, J.F., On certain inequalities and methods of approximation, J. Inst. Actuaries 51 (1919), no. 3, 274-297.
- Steffensen, J.F., En Ulighed mellem Middelve edier, Mat. Tidsskrift B (1920), 49-53.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171685292