数学与计算机科学 |
|
|
|
|
Müntz有理函数的加权Lp逼近 |
王军霞1, 李国成2 |
1. 天水农业学校 基础部, 甘肃 天水 741400; 2. 杭州科技职业技术学院 公共教学部, 浙江 杭州 311402 |
|
On Lp-approximation by Mütz rational functions |
WANG Junxia1, LI Guocheng2 |
1. Department of Public Education, Tianshui Agriculture School, Tianshui 741400, Gansu Province, China; 2. Department of Public Education, Hangzhou Polytechnic, Hangzhou 311402, China |
[1] SOMORJAI G. A Mütz-type problem for rational approximation[J]. Acta Math Hungar,1976,27:197-199. [2] BAK J, NEWMAN D J. Rational combinations of xλk, λk ≥ 0, are always dense in C[0,1][J]. J Approx Theory,1978(23):155-157. [3] ZHOU S P. On Mütz rational approximation[J]. Constr Approx,1993(9):435-444. [4] BAK J. On the efficiency of general rational approximation[J]. J Approx Theory,1977(20):46-50. [5] DITZIAN Z, TOTIK V.Moduli of Smoothness[M]. New York:Springer-Verlag,1987. [6] HEILMANN M, MULER M W. Equivalence of A Weighted Modulus of Smoothness and A Modified K-functional, Progress in Approximation Theory[M]. New York:Academic Press,1991:467-473. [7] GOLITSCHEK M V, LEVIATAN D. Rational Mütz approximation[J]. Ann Numer Math,1995(2):425-437. [8] 王军霞,虞旦盛.Mütz有理逼近的整体估计和点态估计[J].浙江大学学报:理学版,2014,41(2):138-144. WANG J X, YU D S. Global and pointwise estimates for Müntz rational approximation[J]. Journal of Zhejiang University:Science Edition,2014,41(2):138-144. [9] 王军霞,虞旦盛.加权Mütz有理逼近的整体估计和点态估计[J].高等学校计算数学学报,2015,37(2):97-110. WANG J X, YU D S. The global and pointwise estimates for weighted Müntz rational approximation[J]. Numerical Mathematics A Journal of Chinese Universities,2015,37(2):97-110 [10] XIAO W, ZHOU S P. On Mütz rational approximation in Lp spaces[J]. J Approx Theory,2001,111:50-58. [11] YU D S, ZHOU S P. Approximation rate for Mütz rational functions in Lp spaces[J]. Math Inequal Appl,2006(6):351-357. [12] YU D S, ZHOU S P. Some remarks on Mütz rational approximation[J]. Southeast Asian Bull Math,2003,27:583-590. [13] 周颂平,虞旦盛.有理逼近的一些最新进展[J].数学进展,2003,32(2):141-156. ZHOU S P, YU D S. Recent developments on rational approximation[J]. Advances in Mathematics,2003,32(2):141-156. [14] STEIN E M. Singular Intergrals and Differentiability of Functions[M]. New Jersey:Princeton University Press,1970. |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|