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《Studies in College Mathematics》 2012-06
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Two Methods for Inequalities of Definite Integrals and Their Best Constants

ZHENG Huasheng,HU Jiemei (School of Mathematics and Information Science,Nanchang Hangkong University,Nanchang 330063,PRC)  
Based on Parseval's identity and Schwarz inequality,two methods for proving inequalities of definite integrals and their best constants are presented.Applications of these methods are given by several examples.
【Fund】: 江西省研究生教学改革项目(JXYJG-2012-072);; 南昌航空大学数值计算类课程优秀教学团队建设项目与研究生优质课程建设项目(YYZ201203)
【CateGory Index】: O178
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
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5 LIU Jian-zhong(School of Mathematics and Physics,Jiangsu Teachers University of Technology,Changzhou 213001,China);Two moment inequalities of nonnegative random variables[J];Journal of Anhui University(Natural Sciences);2009-05
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7 WANG Xiu-ling(Department of Mathematics,Suqian Higher Normal School,Suqian 223800,China);The Different Proofs of the Differential Mean Value Theorem and Its Application[J];Journal of Anqing Teachers College(Natural Science Edition);2010-04
8 LIU Zheng(Faculty of Science,Anshan University of Science and Technology,Anshan 114044,China);Conditional extremum and an inequality[J];Journal of Anshan University of Science and Technology;2005-05
9 KUANG Ji-chang (Mathematics Department of Hunan Normal University, Changsha410081,China);New Progress in Inequality Study in China[J];Journal of Beijing Union University;2005-01
10 LI Shi-jie~1,SHI Huan-nan~2(1.Department of Teaching Research,Quzhou Education Committee,Quzhou Zhejiang 324002,China;2. Normal College of Beijing Union University,Beijing 100011,China);The Preliminary Research of <l,t>Convex Function[J];Journal of Beijing Union University;2005-03
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1 GUAN Ye-qing, LIU Si-feng ( College of Economic & Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China);Further Study on Strengthening Buffer Operators[A];[C];2006
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