Stancu type operators including generalized Brenke polynomials
نویسندگان
چکیده
Our objective in this paper is to present the sequence of Stancu type operators including generalized Brenke polynomials. We answer problem uniform approximation continuous functions on closed bounded interval and order convergence estimate by known tools theory. Furthermore, we apply some results obtained work Miller-Lee polynomials Gould-Hopper
منابع مشابه
Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials
The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials. We investigate the order of convergence by using Peetre's K-functional and the Ditzian-Totik modulus of smoothness and study the degree of approximation of the univariate operators for continuous functions i...
متن کاملStancu type generalization of the Favard-Szàsz operators
In this paper, we introduce a Stancu type generalization of the q−Favard-Szàsz operators, estimate the rates of statistical convergence and study the local approximation properties of these operators.
متن کاملSome Preservation Properties of Mkz-stancu Type Operators
In this work, we construct Stancu type modification of the generalization of Meyer-König and Zeller operators (MKZ) defined in [12]. We show that the Lipschitz constant of a Lipschitz continuous function and the properties of the function of modulus of continuity can be retained by these operators.
متن کاملApproximation properties of Beta-Szasz-Stancu operators
The application of q-calculus in operator theory is an active area of research in the last two decades. Several new q-operators were introduced and their approximation behavior was discussed. In the present paper, we study the Stancu type generalization of Beta-Szasz type operators for their q-analogues. We obtain moments and convergence results in terms of higher order modulus of continuity. A...
متن کاملGeneralized Baskakov-Szász type operators
Keywords: Baskakov-Szász operators Modulus of continuity Asymptotic formula Simultaneous approximation Statistical convergence Bounded variation a b s t r a c t In the present paper, we introduce generalized Baskakov-Szász type operators and study some approximation properties of these operators e.g., rate of convergence in ordinary and simultaneous approximation, statistical convergence and th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2022
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2207381s