| VARIATIONAL L~q-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION |
| |
| 作者姓名： | 罗祖华 |
| |
| 摘 要： | 1PreliminariesandExistenceForfEC0,1],A.PinkusandO.Shi.h.l]introducedthefollowingmeasures,'Thesupremaareattainable,andqE1,co)Inthecaseq=1,wesimplyletWiththismeasurestA.PinkusandO.ShishahavestudiedbestapproximationbyalgebraicpolynondaISofdegree5n.Later,MaandShi2]11avestudiedthecaseofbestapproximationfromratiollalpolyllollilalsR:,usingthesamegaugeill'JI1.TheyallgetthesimilarresultsforChebyshevapproximation,includingalternatiolltheoremascharacterisatiollforthebestappro~swhichisthegeom…
|
VARIATIONAL L~q-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION |
| |
| Luo Zuhua.VARIATIONAL L~q-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION[J].Acta Mathematica Scientia,1997(3). |
| |
| Authors: | Luo Zuhua |
| |
| Abstract: | The new Lq approximation methods proposed by A.Pinkus and O.Shisha,which maintains the characteristic feature-alternation-of the classic Chebyshev uniform approximation, is extended to varisolvent approximation under the Young's condition.The theorems of existence, characterizations, unicity, de La Vallee Poussin and continuity of the best approximation are presented. |
| |
| Keywords: | Varisolvency Young's condition Best approximation Property Z |
|
|
