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  • Küçük Resim
    Öğe
    On sequences of JP King-type operators
    (HINDAWI LTD, 2019) Acar, Tuncer; Montano, Mirella Cappelletti; Garrancho, Pedro; Leonessa, Vita
    This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P. King who defined them, and they have been a source of inspiration for many scholars. In this paper we try to take stock of the situation and highlight the state of the art, hoping that this will be a useful tool for all people who intend to extend King's approach to some new contents within Approximation Theory. In particular, we recall the main results concerning certain King-type modifications of two well known sequences of positive linear operators, the Bernstein operators and the Szasz-Mirakyan operators.
  • Küçük Resim
    Öğe
    Operator methods in approximation theory
    (HINDAWI LTD, 2019) Leonessa, Vita; Acar, Tuncer; Montano, Mirella Cappelletti; Garrancho, Pedro
    [Abstract not Available]