报告主题:奇异函数xrlogvx的渐近分析
报告人:Guo Benqi 教授 (加拿大Manitoba大学)
报告时间:2019年5月28日(周二)13:30
报告地点:校本部G507
邀请人:马和平
报告摘要:We investigated the asymptotic for the singular function xrlogvx with r > -1/2 and integer v > 0. We derived the formula of coefficients of the Legendre projection for xrlogvx, then proved various asymptotic formulas of the error in the Legendre projection of the singular function xrlogvx in L^2-norm. Computational results for different asymptotic formula with various values of r and v are presented, which show the numerical behaves of the asymptotics of these formulas, which coincide with the theoretical predictions.
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