Some extremal properties of the integral of legendre polynomials |
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| Authors: | Shi Yingguang Wang Ziyu |
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| Institution: | (1) Department of Mathematics, Hunan Normal University, 410081 Changsha, China;(2) University of the Chinese People's Policeofficers, 102600 Beijing, China |
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| Abstract: | Some extremal properties of the integral of Legendre polynomials are given, which are of independent interest. Meanwhile they show that a conjecture of P. Erdos1] is plausible and maybe provides some means to prove this conjecture. |
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| Keywords: | Lagrange interpolation Legendre polynomial extremal problem |
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