Secrets in Inequalities-advanced inequalities 第六章

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1、257Title:SecretsinInequalitiesvolume2-advancedinequalities-freechapterAuthor:PhamKimHungPublisher:GILPublishingHouseISBN:978-606-500-002-5Copyrightc2008GILPublishingHouse.Allrightsreserved.ALLRIGHTSRESERVED.ThisbookcontainsmaterialprotectedunderInternationalandFederalCopyr

2、ightLawsandTreaties.Anyunauthorizedreprintoruseofthismaterialisprohibited.Nopartofthisbookmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recording,orbyanyinformationstorageandretrievalsystemwithoutexpresswrittenpermissionfrom

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4、usethereforeyoucannotuseitforcommercialpurpose.258Tableofcontents1CollectedArticlesonInequalities261Article1.GENERALIZATIONOFSCHURINEQUALITY..............2621.1GeneralizedSchurInequalityforThreeNumbers.............2621.2AGeneralizationofSchurInequalityfornNumbers..........

5、.269Article2.LOOKINGATFAMILIAREXPRESSIONS................2761.3OnAM-GMInequality............................2761.4OnNesbitt’sInequality............................2841.5OnSchurInequality..............................288Article3.THOUGHTBRINGSKNOWLEDGE-VARIEDIDEAS..........2

6、921.6ExponentSmash................................2921.7UnexpectedEqualities............................2961.8UndesirableConditions...........................304Article4.CYCLICINEQUALITIESOFDEGREE3.................3101.9GettingStarted................................3101.10

7、ApplicationforPolynomialInequalities..................3121.11ApplicationsforFractionInequalities...................323Article5.INTEGRALANDINTEGRATEDINEQUALITES.............3291.12Gettingstarted.................................3291.13IntegratedInequalities..................

8、..........332Article6.TWOIMPROVEMENTSOFTHEMIXINGVARIABLESMETHOD...3361.14MixingVariablesb