A double inequality for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean
نویسندگان
چکیده
منابع مشابه
A Double Inequality for the Combination of Toader Mean and the Arithmetic Mean in Terms of the Contraharmonic Mean
We find the greatest value λ and the least value μ such that the double inequality C(λa + (1 − λ)b, λb+ (1 − λ)a) < αA(a, b) + (1 − α)T (a, b) < C(μa + (1 − μ)b, μb+ (1− μ)a) holds for all α ∈ (0, 1) and a, b > 0 with a 6= b, where C(a, b), A(a, b), and T (a, b) denote respectively the contraharmonic, arithmetic, and Toader means of two positive numbers a and b.
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ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2016
ISSN: 0350-1302,1820-7405
DOI: 10.2298/pim141026009j