Cauchy’s Means of Levinson Type
نویسندگان
چکیده
In this paper we introduce Levinson means of Cauchy’s type. We show that these means are monotonic.
منابع مشابه
New Means of Cauchy’s Type
We will introduce new means of Cauchy’s type M r,l f, μ defined, for example, as M s r,l f, μ l l− s /r r − s M r f, μ −Mr s f, μ /M l f, μ −Ml s f, μ 1/ r−l , in the case when l / r / s, l, r / 0. We will show that this new Cauchy’s mean is monotonic, that is, the following result. Theorem. Let t, r, u, v ∈ R, such that t ≤ v, r ≤ u. Then for M r,l f, μ , one has M t,r ≤ M v,u. We will also gi...
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