APPROXIMATION BY BOOLEAN SUMS OF LINEAR-OPERATORS - TELYAKOVSKII-TYPE ESTIMATES

被引：2

作者：

CAO, JD ^{[1
]}

GONSKA, HH ^{[1
]}

机构：

[1] EUROPEAN BUSINESS SCH,DEPT COMP SCI,W-6227 OESTRICH WINKEL,GERMANY

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1990年 / 42卷 / 02期

关键词：

D O I：

10.1017/S0004972700028410

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present note we study the question: “Under which general conditions do certain Boolean sums of linear operators satisfy Telyakovskiǐ-type estimates?” It is shown, in particular, that any sequence of linear algebraic polynomial operators satisfying a Timan-type inequality can be modified appropriately so as to obtain the corresponding upper bound of the Telyakovskiǐ-type. Several examples are included. © 1990, Australian Mathematical Society. All rights reserved.

引用

页码：253 / 266

页数：14

共 50 条

[41] CENTRAL LIMIT-THEOREM FOR THE SUMS OF RANDOM VECTORS NORMED BY LINEAR-OPERATORS
SEMOVSKII, SV
[J]. DOKLADY AKADEMII NAUK SSSR, 1979, 245 (04): : 795 - 798
[42] THE SPECTRAL APPROXIMATION OF LINEAR-OPERATORS WITH APPLICATIONS TO THE COMPUTATION OF EIGENELEMENTS OF DIFFERENTIAL AND INTEGRAL-OPERATORS
CHATELIN, F
[J]. SIAM REVIEW, 1981, 23 (04) : 495 - 522
[43] THE PERTURBATION-THEORY FOR LINEAR-OPERATORS OF DISCRETE TYPE
BINGREN, L
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1983, 104 (01) : 29 - 38
[44] A NOTE ON STOCHASTIC METHODS IN CONNECTION WITH APPROXIMATION THEOREMS FOR POSITIVE LINEAR-OPERATORS
HAHN, L
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1982, 101 (02) : 307 - 319
[45] Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums (vol 200, pg 92, 2015)
Draganov, Borislav R.
[J]. JOURNAL OF APPROXIMATION THEORY, 2020, 252
[46] A UNIFIED APPROACH TO FUNDAMENTAL THEOREMS OF APPROXIMATION BY SEQUENCES OF LINEAR-OPERATORS AND THEIR DUAL VERSIONS
RIES, S
STENS, RL
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 1984, 47 (1-2): : 147 - 167
[47] ON SOME DELAVALLEE-POUSSIN TYPE DISCRETE LINEAR-OPERATORS
KIS, O
SZABADOS, J
[J]. ACTA MATHEMATICA HUNGARICA, 1986, 47 (1-2) : 239 - 260
[48] SUM OF PARABOLIC-TYPE LINEAR-OPERATORS .1.
LABBAS, R
TERRENI, B
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1987, 1B (02): : 545 - 569
[49] ERROR-ESTIMATES FOR SUCCESSIVE-APPROXIMATIONS AND SPECTRAL PROPERTIES OF LINEAR-OPERATORS
ZABREJKO, PP
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1990, 11 (7-8) : 823 - 838
[50] THE DEGREE OF APPROXIMATION BY POSITIVE LINEAR-OPERATORS ON COMPACT CONNECTED ABELIAN-GROUPS
BLOOM, WR
SUSSICH, JF
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1982, 33 (DEC): : 364 - 373

← 1 2 3 4 5 →