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On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality 被引量:9
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作者 bi cheng yang 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第7期1311-1316,共6页
In this paper, the expression of the norm of a self-adjoint integral operator T : L^2(0, ∞) → L^2 (0, ∞) is obtained. As applications, a new bilinear integral inequality with a best constant factor is establis... In this paper, the expression of the norm of a self-adjoint integral operator T : L^2(0, ∞) → L^2 (0, ∞) is obtained. As applications, a new bilinear integral inequality with a best constant factor is established and some particular cases are considered. 展开更多
关键词 NORM SELF-ADJOINT bilinear inequality Beta function
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On a New Reverse Extended Hardy’s Integral Inequality
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作者 bi cheng yang 《Journal of Mathematical Research and Exposition》 CSCD 2011年第3期474-478,共5页
In this paper,a new reverse extended Hardy's integral inequality is proved by means of weight coefficients and the technique of real analysis.Some particular results are considered.
关键词 Hardy's integral inequality weight function Hlder's inequality.
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