engleski

On exponential convexity for power sums and related results

In this paper, we use parameterized class of increasing functions to give exponential convexity of the non-negative difference of certain inequality as a function of parameter in connection with power sums. We define new means of Cauchy type and give its relation to the means defined in [5] and [6]. Also we give related mean value theorems of Cauchy type.

convex functions; log-convex functions; power sums; mean value theorems

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