caa a22 4500 46317142X CHVBK 20180406164814.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10998-007-3019-x doi (NATIONALLICENCE)springer-10.1007/s10998-007-3019-x On the Jensen-Steffensen inequality for generalized convex functions [Elektronische Daten] [M. Bakula, A. Matković, J. Pečarić] Jensen-Steffensen type inequalities for P-convex functions and functions with nondecreasing increments are presented. The obtained results are used to prove a generalization of Čebyšev's inequality and several variants of Hölder's inequality with weights satisfying the conditions as in the Jensen-Steffensen inequality. A few well-known inequalities for quasi-arithmetic means are generalized. Springer Science+Business Media B.V., 2007 P -convex functions nationallicence functions with nondecreasing increments nationallicence Jensen-Steffensen inequality nationallicence Čebyšev's inequality nationallicence Hölder's inequality nationallicence generalized quasiarithmetic means nationallicence Bakula M. Department of Mathematics, Faculty of Natural Sciences, Mathematics and Education, University of Split, Teslina 12, 21000, Split, Croatia aut Matković A. Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudera Boškovića b.b., 21000, Split, Croatia aut Pečarić J. Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 30, 10000, Zagreb, Croatia aut Periodica Mathematica Hungarica Springer Netherlands 55/1(2007-09-01), 19-34 0031-5303 55:1<19 2007 55 10998 https://doi.org/10.1007/s10998-007-3019-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10998-007-3019-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bakula M. Department of Mathematics, Faculty of Natural Sciences, Mathematics and Education, University of Split, Teslina 12, 21000, Split, Croatia aut NATIONALLICENCE 700 1- Matković A. Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudera Boškovića b.b., 21000, Split, Croatia aut NATIONALLICENCE 700 1- Pečarić J. Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 30, 10000, Zagreb, Croatia aut NATIONALLICENCE 773 0- Periodica Mathematica Hungarica Springer Netherlands 55/1(2007-09-01), 19-34 0031-5303 55:1<19 2007 55 10998 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer