Hilbert边值问题的逼近解法

Hilbert边值问题的逼近解法 APPROXIMATE SOLUTION OF HILBERT BOUNDARY VALUE PROBLEMS 金国祥 Jin Guoxiang 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 讨论了与单位圆上的线性Ｈｉｌｂｅｒｔ边值问题相关的离散Ｈｉｌｂｅｒｔ边值问题，给出了其解法，并且证明了当问题的指标κ＝０时，离散Ｈｉｌｂｅｒｔ边值问题的解强收敛于原Ｈｉｌｂｅｒｔ边值问题的解 We consider the discrete Hilbert problems corresponding to the linear Hilbert problems on the unit circle and obtain their solutions. In case the index κ=0 of the problems, we establish that the solution of the discrete problems converges to the solution of Hilbert problem in Holder norm. Hilbert边值问题 离散Hilbert边值问题 三角插值 Hilbert boundary value problems discrete Hilbert boundary value problems trigonometric interpolation O174.41 国家自然科学基金,国家教委博士点基金 1996-05-01 2021-04-01 5