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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：女
毕业院校：大连理工大学
学位：博士
所在单位：数学科学学院
电子邮箱：xpliu@dlut.edu.cn
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Inequalities for Alternating Trigonometric Sums
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论文类型：期刊论文
发表时间：2013-06-01
发表刊物：RESULTS IN MATHEMATICS
收录刊物：SCIE
卷号：63
期号：3-4
页面范围：1215-1223
ISSN号：1422-6383
关键字：Alternating trigonometric sums; inequalities; sharp constant bounds; hypermetric spaces
摘要：In 1970, J.B. Kelly proved that
0 <= Sigma(n)(k=1)(-1)(k+1)(n - k + 1)vertical bar sin(kx)vertical bar (n is an element of N; x is an element of R).
We generalize and complement this inequality. Moreover, we present sharp upper and lower bounds for the related sums
Sigma(n)(k=1)(-1)(k+1)(n - k + 1)vertical bar cos(kx)vertical bar and
Sigma(n)(k=1)(-1)(k+1)(n - k + 1)(vertical bar sin(kx)vertical bar + vertical bar cos(kx)vertical bar).