l'Hospital-type rules for monotonicity: Discrete case

Document Type

Article

Publication Date

2008

Department

Department of Mathematical Sciences

Abstract

Let f := (fn) and g := (gn) be two sequences, and let r := f/g and ρ := δf/δg , where (δf)n := δfn := fn - fn-1. In particular, it is shown that, if r is monotonic, then the monotonicity pattern of ρ may switch at most once (from increase to decrease or vice versa). "Continuous" versions of such results were obtained earlier by the author.

Publication Title

Mathematical Inequalities and Applications

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