On New Classes of Stancu-Kantorovich-Type Operators
نویسندگان
چکیده
The present paper introduces new classes of Stancu–Kantorovich operators constructed in the King sense. For these operators, we establish some convergence results, error estimations theorems and graphical properties approximation for considered, namely, that preserve test functions e0(x)=1 e1(x)=x, e2(x)=x2, as well e1(x)=x e2(x)=x2. class e2(x)=x2 is a genuine generalization introduced by Indrea et al. their “A New Class Kantorovich-Type Operators”, published Constr. Math. Anal.
منابع مشابه
A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on q-integers
Agrawal et al. (Boll. Unione Mat. Ital. 8:169-180, 2015) introduced a Stancu-type Kantorovich modification of the operators proposed by Ren and Zeng (Bull. Korean Math. Soc. 50(4):1145-1156, 2013) and studied a basic convergence theorem by using the Bohman-Korovokin criterion, the rate of convergence involving the modulus of continuity, and the Lipschitz function. The concern of this paper is t...
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 کاملOn a new sequence of q -Baskakov-Szasz-Stancu operators
This paper deals with Stancu type generalization of q -analogue of Baskakov-Szasz operators introducing a new sequence of positive q -integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on [0,∞). An estimate for the rate of convergence and weighted approximation properties are also obtained for these operators. MSC: 41A...
متن کاملAbout 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.
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 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: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9111235