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Periodica Mathematica Hungarica
Authors:
M. Bakula
,
A. Matković
, and
J. Pečarić
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.
Periodica Mathematica Hungarica
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.
Periodica Mathematica Hungarica
Authors:
J. Pečarić
,
B. Mesihović
,
I. Milovanović
, and
N. Stojanović
Periodica Mathematica Hungarica
Authors:
J. Pečarić
,
B. Mesihović
,
I. Milovanović
, and
N. Stojanović
Page:12
