Sharp bounds for neuman-s谩ndor mean in terms of the convex combination of quadratic and first Seiffert means

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• 作者：Yuming CHU^a ; ^{chuyuming@hutc.zj.cn" class="auth_mail} ; Tiehong ZHAO^b ; ^{tiehong.zhao@hznu.edu.cn" class="auth_mail} ; Yingqing SONG^c ; ^{1452225875@qq.com" class="auth_mail}
• 关键词：Neuman-Sá ; ndor mean ; quadratic mean ; first Seiffert mean
• 刊名：Acta Mathematica Scientia
• 出版年：May 2014
• 年：2014
• 卷：34
• 期：3
• 页码：797-806
• 全文大小：250 K

文摘

In this article, we prove that the double inequality holds for any a,b > 0 with a ≠ b if and only if 伪 ≥ 1/2 and, where M(a,b), Q(a,b), and P(a,b) are the Neuman-Sándor, quadratic, and first Seiffert means of a and b, respectively.