Results 21 to 30 of about 991 (95)

A Bézier variant of ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu operators

Journal of Inequalities and Applications
This paper mainly introduces ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu-Bézier operators that are a natural continuation of Stancu-type ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich operators constructed by Q.-B. Cai et al.
Xiu-Liang Qiu, Murat Bodur, Qing-Bo Cai
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Phillips-Type q-Bernstein Operators on Triangles

Journal of Function Spaces, 2021
The purpose of the paper is to introduce a new analogue of Phillips-type Bernstein operators Bm,qufu,v and Bn,qvfu,v, their products Pmn,qfu,v and Qnm,qfu,v, their Boolean sums Smn,qfu,v and Tnm,qfu,v on triangle Th, which interpolate a given function on
Asif Khan, M. S. Mansoori, Khalid Khan, M. Mursaleen   +3 more
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Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators

Journal of Function Spaces, 2019
In this study, it is proposed to define bivariate Chlodowsky variant of (p,q)-Bernstein-Stancu-Schurer operators. Therefore, Korovkin-type approximation theorems and the error of approximation by using full modulus of continuity are presented.
Tuba Vedi-Dilek, Eser Gemikonakli
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Statistical Blending-Type Approximation by a Class of Operators That Includes Shape Parameters λ and α

Mathematics, 2022
This paper is devoted to studying the statistical approximation properties of a sequence of univariate and bivariate blending-type Bernstein operators that includes shape parameters α and λ and a positive integer.
Qing-Bo Cai, Khursheed J. Ansari, Merve Temizer Ersoy, Faruk Özger   +3 more
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Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators

Journal of Mathematics, 2021
The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai, Gülten Torun, Ülkü Dinlemez Kantar   +2 more
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Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 more
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Analysis of Approximation by Linear Operators on Variable Lρp(·) Spaces and Applications in Learning Theory

Abstract and Applied Analysis, 2014
This paper is concerned with approximation on variable Lρp(·) spaces associated with a general exponent function p and a general bounded Borel measure ρ on an open subset Ω of Rd. We mainly consider approximation by Bernstein type linear operators. Under
Bing-Zheng Li, Ding-Xuan Zhou
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Approximation by the new modification of Bernstein-Stancu operators

Cumhuriyet Science Journal, 2021
The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
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Bernstein-type operators on triangles

Journal of Numerical Analysis and Approximation Theory, 2009
The aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle.
Petru Blaga, Gheorghe Coman
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On the shape-preserving properties of λ-Bernstein operators

Journal of Inequalities and Applications, 2022
We investigate the shape-preserving properties of λ-Bernstein operators B n , λ ( f ; x ) $B_{n,\lambda } ( f;x ) $ that were recently introduced Bernstein-type operators defined by a new Beziér basis with shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in ...
Lian-Ta Su, Gökhan Mutlu, Bayram Çekim
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