ESTIMATES OF LINEAR RELATIVE n-WIDTHS IN L^p[0, 1]-中国期刊网

摘要 Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.

1Gui Qiao XU;Yong Sheng SUN;Yong Ping LIU. N-Widths and Average Widths of Besov Classes in Sobolev Spaces.基础数学,2006-06.
2许贵桥;余纯武. THE GEL‘FAND n－WIDTHS OF MULTIVARIATE PERIODIC BESOV CLASSES.基础数学,2003-03.
3Sun Yongsheng;Liu Yongping. N-WIDTHS FOR SOME CLASSES OF PERIODIC FUNCTIONS WITH BOUNDARY CONDITIONS.基础数学,1992-03.
4. ONE-SIDED N-WIDTHS OF SOME CLASSES OF PERIODIC FUNCTIONS.基础数学,1993-04.
5Gensun Fang;Lixin Qian. OPTIMAL ALGORITHMS FOR DIAGONAL OPERATORS ON N-WIDTHS IN DIFFERENT COMPUTATIONAL SETTING -In Memory of Professor Sun Yongsheng.基础数学,2007-02.
6G.T.Tachev. APPROXIMATION BY KANTOROVICH-BERNSTEIN POLYNOMIALS IN L_p(0.基础数学,1992-03.

7MUCHUNLAI TANGXIANJIANG. L^p-L^q ESTIMATES FOR HIGHER ORDERPERTURBED HYPERBOLIC EQUATION.基础数学,1998-01.
8LU Li-gang;YAN Li-tan;XIANG Li-chi. L^p-estimates on a ratio involving a Bessel process.物理,2007-01.
9YANG Lin;HUANG Li-hong;KUANG Feng-lian. L^p- L^q decay estimates of solutions to Cauchy problems of thermoviscoelastic systems.基础数学,2009-04.
10Dongxiang CHEN;Jiecheng CHEN;Suzhen MAO. Weighted L^p Estimates for Maximal Commutators of Multilinear Singular Integrals.基础数学,2013-06.

ESTIMATES OF LINEAR RELATIVE n-WIDTHS IN L^p[0, 1]

来源期刊

相关推荐

同分类资源更多

相关关键词

ESTIMATES OF LINEAR RELATIVE n-WIDTHS IN L^p[0, 1]

来源期刊

相关推荐

同分类资源 更多

相关关键词

同分类资源更多