A New Method to Prove and Find Analytic Inequalities
نویسندگان
چکیده
منابع مشابه
A New Method to Prove and Find Analytic Inequalities
and Applied Analysis 3 holds in Di ∩ Dj , then f a1, a2, . . . , an ≥ ≤ f A a , A a , . . . , A a 1.7 for all a a1, a2, . . . , an ∈ D, with equality if only if a1 a2 · · · an. Proof. If n 2, then Theorem 1.2 follows from Lemma 1.1 and l |a1 − a2|/2. We assume that n ≥ 3 in the next discussion. Without loss of generality, we only prove the case of ∂f/∂xi > ∂f/∂xj with i / j. If a1 a2 · · · an, ...
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Correspondence should be addressed to Yu-Ming Chu, [email protected] Received 16 October 2009; Accepted 24 December 2009 Academic Editor: Kunquan Lan Copyright q 2010 X.-M. Zhang and Y.-M. Chu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original wor...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2010
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2010/128934