Steklov Averages as Positive Linear Operators

被引:6
作者
Popa, Dorian [1 ]
Rasa, Ioan [1 ]
机构
[1] Tech Univ Cluj Napoca, Dept Math, 28 Memorandumului St, Cluj Napoca 400114, Romania
关键词
Positive linear operators; Steklov averages; Weierstrass operators; probabilistic representation; moments of operators; moments of B-spline functions; SPACES;
D O I
10.2298/FIL1605195P
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a class of positive linear operators defined by Steklov means, investigate their properties and prove that the Weierstrass operators can be approximated in terms of the Steklov averages.
引用
收藏
页码:1195 / 1201
页数:7
相关论文
共 20 条
[1]  
Abel U, 2005, J COMPUT ANAL APPL, V7, P89
[2]  
Adell JA, 1996, CONSTR APPROX, V12, P489
[3]  
ADELL JA, 1993, REND CIRC MAT PALE S, V33, P125
[4]  
Altomare F., 1994, Korovkin-Type Approximation Theory and Its Applications
[5]  
Billingsley P., 1968, CONVERGE PROBAB MEAS
[6]   Steklov operators and semigroups in weighted spaces of continuous real functions [J].
Campiti, M. ;
Rasa, I. ;
Tacelli, C. .
ACTA MATHEMATICA HUNGARICA, 2008, 120 (1-2) :103-125
[7]  
Campiti M, 2008, ACTA SCI MATH, V74, P171
[8]   A NOTE ON LIMITING PROPERTIES OF SOME BERNSTEIN-TYPE OPERATORS [J].
DELACAL, J ;
LUQUIN, F .
JOURNAL OF APPROXIMATION THEORY, 1992, 68 (03) :322-329
[9]   ON THE COMPOSITION AND DECOMPOSITION OF POSITIVE LINEAR OPERATORS (II) [J].
Gonska, Heiner ;
Rasa, Ioan .
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2010, 47 (04) :448-461
[10]  
Ivan I., 1995, ANAL NUMER THEOR APP, V24, P159