Khursheed Jamal - Academia.edu (original) (raw)
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Papers by Khursheed Jamal
Journal of Inequalities and Applications
The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by u... more The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using (p, q)-integers which is based on a continuously differentiable function μ on [0, ∞) = R +. We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators. MSC: 41A10; 41A25; 41A36 Keywords: (p, q)-integers; (p, q)-Bernstein operators; q-Bleimann-Butzer-Hahn operators; (p, q)-Bleimann-Butzer-Hahn operators; modulus of continuity; rate of approximation; Lipschitz type maximal function space 9]). Moreover, the (p, q)-calculus in computer-aided geometric design (CAGD) given by Khalid et al. (see [10]) will help readers to understand the applications. Besides this, we also refer the reader to some recent papers on (p, q)-calculus in approximation theory [11-20] and [21]. We recall some definitions and notations of (p, q)-calculus.
Journal of Inequalities and Applications
The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by u... more The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using (p, q)-integers which is based on a continuously differentiable function μ on [0, ∞) = R +. We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators. MSC: 41A10; 41A25; 41A36 Keywords: (p, q)-integers; (p, q)-Bernstein operators; q-Bleimann-Butzer-Hahn operators; (p, q)-Bleimann-Butzer-Hahn operators; modulus of continuity; rate of approximation; Lipschitz type maximal function space 9]). Moreover, the (p, q)-calculus in computer-aided geometric design (CAGD) given by Khalid et al. (see [10]) will help readers to understand the applications. Besides this, we also refer the reader to some recent papers on (p, q)-calculus in approximation theory [11-20] and [21]. We recall some definitions and notations of (p, q)-calculus.