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Mathematical Communications, Vol. 19 No. 2, 2014.

Original scientific paper

On an inequality of I. Perić

Sadia Khalid orcid id orcid.org/0000-0002-9603-3506 ; Abdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore,Pakistan
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia
Marjan Praljak ; Faculty of Food Technology and Biotechnology, University of Zagreb, Zagreb, Croatia

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Abstract

Generalizations of some results given in [1] and [5] are presented and it is shown that, after appropriate substitution, one of the results is equivalent to an inequality given in [10]. We also construct new families of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with the obtained inequalities.

Keywords

Non-increasing sequence in weighted mean; Wright-convex function; n-exponential convexity; Cauchy means

Hrčak ID:

129573

URI

https://hrcak.srce.hr/129573

Publication date:

5.12.2014.

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