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Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means

We answer the question: for α∈(0,1), what are the greatest value p and the least value q such that the double inequality Mp(a,b)<Pα(a,b)G1−α(a,b)<Mq(a,b) holds for all a,b>0 with a≠b. Here, Mp(a,b), P(a,b), and G(a,b) denote the power of order p, Seiffert, and geometric means of two positive number...

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Autors principals: Yu-Ming Chu, Ye-Fang Qiu, Miao-Kun Wang
Format: Artigo
Idioma:Inglês
Publicat: Wiley 2010-01-01
Col·lecció:Abstract and Applied Analysis
Accés en línia:http://dx.doi.org/10.1155/2010/108920
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