On an inequality of I. Perić
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
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)