Results 11 to 20 of about 63,646 (142)

Shape-preserving properties of a new family of generalized Bernstein operators [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce a new family of generalized Bernstein operators based on q integers, called (α,q) $(\alpha,q)$-Bernstein operators, denoted by Tn,q,α(f) $T_{n,q,\alpha}(f)$. We investigate a Kovovkin-type approximation theorem, and obtain the
Qing-Bo Cai, Xiao-Wei Xu
doaj   +8 more sources

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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Approximation and Shape Preserving Properties of the Bernstein Operator of Max-Product Kind [PDF]

International Journal of Mathematics and Mathematical Sciences, 2009
Starting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (2006, 2008), in the book by Gal (2008), Open Problem 5.5.4, pages 324–326, the Bernstein max-prod-type operator is introduced and the question of the approximation
Barnabás Bede, Lucian Coroianu, Sorin G. Gal   +2 more
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Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme [PDF]

Mathematics, 2020
In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving.
Pakeeza Ashraf, Abdul Ghaffar, Dumitru Baleanu, Irem Sehar, Kottakkaran Sooppy Nisar, Faheem Khan   +5 more
doaj   +2 more sources

Shape Preserving Properties of Parametric Szász Type Operators on Unbounded Intervals

Symmetry, 2023
The Be´zier-type operator has become a powerful tool in operator theory, neural networks, curve and surface design and representation because of its good shape-preserving properties. Motivated by the improvements of the operator in computational disciplines, we investigate some elementary properties of two kinds of modified Sza´sz type basis functions,
Qiulan Qi
exaly   +2 more sources

Approximation and Shape-Preserving Properties of $Q$-Stancu Operator

Analysis in Theory and Applications, 2011
We introduce the definition of $q$-Stancu operator and investigate its approximation and shape-preserving property. With the help of the sign changes of $f (x)$ and $L_n = f ( f ,q;x)$ the shape-preserving property of $q$-Stancu operator is obtained.
Yun, Lianying, Wang, Rongwei
exaly   +3 more sources

Shape preserving properties and monotonicity properties of the sequences of Choquet type integral operators

Journal of Numerical Analysis and Approximation Theory, 2018
In this paper, for the univariate Bernstein-Kantorovich-Choquet, Szasz-Kantorovich-Choquet, Baskakov-Kantorovich-Choquet and Bernstein-Durrmeyer-Choquet operators written in terms of the Choquet integrals with respect to monotone and submodular set ...
Sorin Gal
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Bernstein–Kantorovich operators, approximation and shape preserving properties

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas
AbstractInspired by the construction of Bernstein and Kantorovich operators, we introduce a family of positive linear operators $$\mathcal{K}_n$$ K n preserving the affine functions.
Ana Maria Acu, Ioan Rasa, Ana Maria Acu
exaly   +3 more sources

On shape-preserving properties and simultaneous approximation of Stancu operator

Analysis in Theory and Applications, 2008
Summary: The shape-preserving properties and the monotonicity for convex functions of the Stancu operator are given. Moreover, the simultaneous approximation problems of this operator are also considered.
Yun, Lianying, Xiang, Xueyan
exaly   +2 more sources

On a Family of Parameter-Based Bernstein Type Operators with Shape-Preserving Properties

Journal of Mathematics, 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator.
Bahareh Nouri, Jamshid Saeidian
doaj   +2 more sources