منابع مشابه
About the Bivariate Operators of Kantorovich Type
The aim of this paper is to study the convergence and approximation properties of the bivariate operators and GBS operators of Kantorovich type.
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The aim of this paper is to present a Stancu type Kantorovich modification of q−BernsteinSchurer operators introduced by Muraru [22] and modified by Ren and Zeng [29]. Here, we obtain a convergence theorem by using the well known Bohman-Korovkin criterion and find the estimate of the rate of convergence by means of modulus of continuity and Lipschitz function for these operators. Also, we estab...
متن کاملThe approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators. Also, we estimate the approximation order in terms of Peetre's K-functional and partial moduli of continuity. Furthermore, we introduce the associated GBS-case (Generalized Boolean Sum) of t...
متن کاملApproximation Theorems for Generalized Complex Kantorovich-Type Operators
The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials q > 0 attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ C : |z| < R}, R > q, the rate of approximation by the q-Kantorovich operators q > 1 is of order q−n versus 1/n for the classical K...
متن کاملStatistical approximation of modified Schurer-type q-Bernstein Kantorovich operators
New modified Schurer-type q-Bernstein Kantorovich operators are introduced. The local theorem and statistical Korovkin-type approximation properties of these operators are investigated. Furthermore, the rate of approximation is examined in terms of the modulus of continuity and the elements of Lipschitz class functions.
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2019
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-019-01683-y