Another look at some new Cauchy–Schwarz type inner product inequalities
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摘要
In this paper we take a refreshing look at a Cauchy–Schwarz type inner product inequalities. We also provide a Cauchy–Schwarz based proof and a refinement of Buzano’s inequality in inner product spaces. Some elementary applications such as trace inequalities for unitary matrices and discrete or integral inequalities are given.
论文关键词:Inner product space,Cauchy–Schwarz inequality,Gram determinant,Buzano’s inequality,Integral inequalities,Discrete inequalities,Lagrange multipliers
论文评审过程:Available online 31 January 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2013.11.047