Some Preservation Properties of Mkz-stancu Type Operators
نویسندگان
چکیده
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.
منابع مشابه
Statistical approximation properties of Kantorovich type q-MKZ operators
These operators were generalized by Dog̃ru in [6]. A Stancu type generalization of these operators has been studied by Agratini [1] and Kantorovich type generalization of Agratini’s operators were constructed and statistical approximation properties were examined by Dog̃ru, Duman and Orhan in [8]. A Kantorovich type generalization of MKZ operators can also be found in [7]. In 2000, Trif [18] intr...
متن کاملApproximation by $(p,q)$-Lupac{s} Stancu Operators
In this paper, $(p,q)$-Lupas Bernstein Stancu operators are constructed. Statistical as well as other approximation properties of $(p,q)$-Lupac{s} Stancu operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.
متن کاملSome statistical approximation properties of Kantorovich-type q-Bernstein-Stancu operators
In this paper two kinds of Kantorovich-type q-Bernstein-Stancu operators are introduced, and the statistical approximation properties of these operators are investigated. Furthermore, by means of modulus of continuity, the rates of statistical convergence of these operators are also studied. MSC: 41A10; 41A25; 41A36
متن کاملSome approximation properties of Baskakov-Durrmeyer-Stancu operators
Keywords: Baskakov–Durrmeyer operator Pointwise convergence Asymptotic formula q-Analogue a b s t r a c t In this paper, we are dealing with a new type of Baskakov–Durrmeyer–Stancu (BDS) operators D ða;bÞ n ðf ; xÞ defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic form...
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 کامل