Yazar "Taşdelen, Fatma" seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • Küçük Resim
    Öğe
    Approximation of functions of two variables by certain linear positive operators
    (Springer India, 2007) Taşdelen, Fatma; Olgun, Ali; Bascanbaz-Tunca, Gülen
    We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an rth order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.
  • [ X ]
    Öğe
    On approximation properties of generalized Lupaş type operators based on Polya distribution with Pochhammer k-symbol
    (Hacettepe University, 2022) Gürel Yılmaz, Övgü; Aktaş, Rabia; Taşdelen, Fatma; Olgun, Ali
    The purpose of this paper is to introduce a Kantorovich variant of Lupaş-Stancu operators based on Polya distribution with Pochhammer k-symbol. We obtain rates of convergence for these operators by means of the classical modulus of continuity. Also, we give a Voronovskaja type theorem for the pointwise approximation. Furthermore, we construct a bivariate generalization of these operators and we discuss some convergence properties of them. Finally, we present some figures to compare approximation properties of our new operators with those of other operators which are mentioned in this paper. We observe that the approximation of our operators to the function f is better than that of some other operators in a certain range of values of k. © 2022, Hacettepe University. All rights reserved.