半三角Lagrange插值及其在余割核奇異積分方程中的應(yīng)用.pdf

1、華中師范大學(xué)碩士學(xué)位論文半三角Lagrange插值及其在余割核奇異積分方程中的應(yīng)用姓名：蹇小平申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：代晉軍20070601AbstractTheintecpolationisanimportantcontentofinnctionapproximationTheresultsaboutthepolynomialLagrangeinterpolationandtheHermiteinterpolatio

2、nhavebeencomplcted；therealealsomanyachievementsabouttrigonometricalfunctionLagrangeinterpolationanditsapplicationsCompared謝tllthoseachievementstheresultofapproachingthe27rcounterperiodicfunctionwithparatrigonomctriealfun

3、ctionLagrangeinterpolationisrelativelylessWhenthenumberofinterpolationnodesisevenparatriangleLagrangeinterpolationquestionissuitablydecidedWhenthenumberofinterpolationnodesisoddparatriangleLagrangeinteIpolationquestionis

4、notsuitablydecidedTheconclusionsabovehavetheessentialdistinctionwiththepolynomialLagrangeinterpolationInthesecondchapterinthisarticlewehaveproducodparatriangleLagrangeinterpolationquestionandtheconstructinterpolationbasi

5、cfunctions；WhentheintaImlatedfunctinnhavesomeanalyticcharacterwehavegivedintegralexpressionofparatriangleLagrangeinterpolmingfunctionandtheinterpolationremainderInthethirdchapterwehaveclarifiedsomeviewsaboutthequadrature

6、formulatriangleprecisionintheteachingmaterial，andpointedoutthedifferencebetweenthetriangleprecisionandthealgebraprecisionAlsoweusedtheresultsofthequadratureformulaofperiodicfunctionandparatriangleLagrangeinterpolationtos

7、tudyakindofsingularintegralwithcosecantkernelthesingulafintegralvaluequadraturemethod，andfmaUyWehaveestablishedthecorrespondingquadratureformulaandproducedtheparatriangleprecisionIncharpterfourweKeywords：paratrigonomctri