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  • Author or Editor: J. Pečarić x
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Authors: P. Vasić and J. Pečarić
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Abstract  

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 H�lder’s inequality with weights satisfying the conditions as in the Jensen-Steffensen inequality. A few well-known inequalities for quasi-arithmetic means are generalized.

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Authors: V. Čuljak, B. Ivanković and J. Pečarić

Abstract  

A sequence of inequalities which include McShane’s generalization of Jensen’s inequality for isotonic positive linear functionals and convex functions are proved and compared with results in [3]. As applications some results for the means are pointed out. Moreover, further inequalities of Hölder type are presented.

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Authors: S. S. Dragomir, J. Pečarić and L. E. Persson
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Authors: I. Milovanović, N. Stojanović, Gh. Toader and J. Pečarić
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Authors: J. Pečarić, B. Mesihović, I. Milovanović and N. Stojanović
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