Bivariate Shepard–Bernoulli operators
نویسندگان
چکیده
منابع مشابه
Bivariate Shepard-Bernoulli operators
We extend the Shepard-Bernoulli operators introduced in [1] to the bivariate case. These new interpolation operators are realized by using local support basis functions introduced in [2] instead of classical Shepard basis functions and the bivariate three point extension [3] of the generalized Taylor polynomial introduced by F. Costabile in [4]. The new operators do not require either the use o...
متن کاملBivariate Positive Operators in Polynomial Weighted Spaces
and Applied Analysis 3 For each (m, n) ∈ N × N and any f ∈ C p,q (R2 + ) we define the linear positive operators
متن کاملOn the bivariate Shepard-Lidstone operators
We propose a new combination of the bivariate Shepard operators [10] by the three point Lidstone polynomials introduced in [12]. The new combination inherits both degree of exactness and Lidstone interpolation conditions at each node, which characterize the interpolation polynomial. These new operators nd application to the scattered data interpolation problem when supplementary second order d...
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 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 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 and Computers in Simulation
سال: 2017
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2017.07.002