Sharps Bounds for Power Mean in Terms of Contraharmonic Mean
نویسندگان
چکیده
منابع مشابه
Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean
and Applied Analysis 3 2. Proof of Theorem 1.1 Proof of Theorem 1.1. Let λ 1 √ 4/π − 1 /2 and μ 3 √3 /6. We first proof that the inequalities T a, b > C λa 1 − λ b, λb 1 − λ a , 2.1 T a, b < C ( μa ( 1 − μb, μb 1 − μa 2.2 hold for all a, b > 0 with a/ b. From 1.1 and 1.2 we clearly see that both T a, b and C a, b are symmetric and homogenous of degree 1. Without loss of generality, we assume th...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2020
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2020.87093