Abstract

We show that the main results by S. Simic are special cases of results published many years earlier by J. E. Pecaric et al. (1992).

Highlights

  • 1, be a sequence of positive weights associated with x

  • We show that the main results by S

  • Φ n i pi φ xi n i pixi pφ a qφ b ≤ max p φ pa qb

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Summary

Introduction

1, be a sequence of positive weights associated with x. Let I be an interval in Ê and φ : I → Ê a convex function on I. The following results are given in 2 . Let φ be a (strictly) positive, twice continuously differentiable function on I and 0 ≤ p, q ≤ 1, p q 1.

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