Approximation of mappings with values which are upper semicontinuous functions

被引：2

作者：

Terán, P ^{[1
]}

López-Díaz, M ^{[1
]}

机构：

[1] Univ Oviedo, Dept Estadist Invest Operat & Didactica Matemat, Oviedo, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2001年 / 113卷 / 02期

关键词：

function valued map; fuzzy random variable; linear operator; partial sum stochastic process; positive operator; random set; upper semicontinuous function;

D O I：

10.1006/jath.2001.3616

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study some aspects of the approximation of mappings taking values in a special class of upper semicontinuous functions. Some Korovkin type theorems for positive linear operators are obtained. and consequences of these theorems for a special class of operators defined through partial sum stochastic processes are analyzed. (C) 2001 Academic Press.

引用

页码：245 / 265

页数：21

共 50 条

[1] ON THE UPPER SEMICONTINUOUS MULTIVALUED MAPPINGS
SILIN, DB
DOKLADY AKADEMII NAUK SSSR, 1987, 294 (04): : 792 - 795
[2] On approximation of mappings with values in the space of continuous functions
Maslyuchenko, V. K.
Nesterenko, O. N.
Voloshyn, H. A.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2012, 4 (01) : 23 - 27
[3] ON UPPER SEMICONTINUOUS FUNCTIONS
MICKLE, EJ
RADO, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 1 (02) : 226 - 230
[4] Separating sets by upper semicontinuous and Darboux upper semicontinuous functions
Szczuka, Paulina
TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (01) : 251 - 255
[5] Decomposition of Topologies Which Characterize the Upper and Lower Semicontinuous Limits of Functions
Caserta, Agata
ABSTRACT AND APPLIED ANALYSIS, 2011,
[6] APPROXIMATION OF SEMICONTINUOUS MULTIVALUED MAPPINGS BY CONTINUOUS ONES
ASEEV, SM
MATHEMATICS OF THE USSR-IZVESTIYA, 1982, 46 (03): : 435 - 448
[7] A chain rule for upper semicontinuous (CF)-mappings
Yoon, Tae-Hwan
JOURNAL OF GLOBAL OPTIMIZATION, 2006, 35 (03) : 475 - 482
[8] A Chain Rule for Upper Semicontinuous (CF)-Mappings
Tae-Hwan Yoon
Journal of Global Optimization, 2006, 35 : 475 - 482
[9] CONTINUOUS MULTIVALUED SELECTIONS OF MAPPINGS WHICH ARE SEMICONTINUOUS BELOW
NEPOMNYASHCHII, GM
SIBERIAN MATHEMATICAL JOURNAL, 1985, 26 (04) : 566 - 572
[10] On best proximity points of upper semicontinuous multivalued mappings
AlNemer G.
Markin J.
Shahzad N.
Fixed Point Theory and Applications, 2015 (1) : 1 - 10

← 1 2 3 4 5 →