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
    Campiti, M.
    Rasa, I.
    Tacelli, C.
    [J]. 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
    DELACAL, J
    LUQUIN, F
    [J]. JOURNAL OF APPROXIMATION THEORY, 1992, 68 (03) : 322 - 329
  • [9] ON THE COMPOSITION AND DECOMPOSITION OF POSITIVE LINEAR OPERATORS (II)
    Gonska, Heiner
    Rasa, Ioan
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2010, 47 (04) : 448 - 461
  • [10] Ivan I., 1995, ANAL NUMER THEOR APP, V24, P159