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  • 1 University of Zagreb Department of Mathematics, Faculty of Civil Engineering Kaciceva 26 10 000 Zagreb Croatia
  • 2 University of Zagreb Faculty of transport and traffic engineering Vukelićeva 4 10 000 Zagreb Croatia
  • 3 University of Zagreb Faculty of Textile Technology Pierottijeva 6 10 000 Zagreb Croatia
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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.