Xinchang High School, Zixing Educational Research Section and Changsha University of Science and Technology
Abstract: In this short note, we consider the best constant for Carleman's inequality of finite type by means of weight coefficient and nonlinear algebraic equation system. The result presented here give a part of answer this problem.
Keywords: Carleman's inequality; Best constant; Nonlinear algebraic. equation system; AM-GM inequality; Wu's method
Classification (MSC2000): 26D15; 65H10
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