New Upper Bounds for the Weighted Chebyshev Functional

[1] S. Abramovich, 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. Search in Google Scholar

[2] D.S. Mitrinović, 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. Search in Google Scholar

[3] J.E. Pečarić, On the Ostrowski generalization of Čebyšev’s inequality, J. Math. Anal. Appl. 102 (1984), no. 2, 479–487. Search in Google Scholar

[4] J.E. Pečarić, 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. Search in Google Scholar

[5] J.F. Steffensen, On certain inequalities and methods of approximation, J. Inst. Actuaries 51 (1919), no. 3, 274–297. Search in Google Scholar

[6] J.F. Steffensen, En Ulighed mellem Middelve edier, Mat. Tidsskrift B (1920), 49–53. Search in Google Scholar