Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values

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摘要

In this paper, alternative proofs are provided for monotonic and logarithmically convex properties of the one-parameter mean values J(r) and for monotonic properties of the product J(r)J(-r) on (-∞,∞).

论文关键词:Alternative proofs,Monotonicity,Logarithmic convexity,One-parameter mean values

论文评审过程:Available online 27 November 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.11.023