Results 21 to 30 of about 221,329 (275)

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
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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
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Shape-preserving properties of univariate cubic \(L_{1}\) splines [PDF]

Journal of Computational and Applied Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Hao, Fang, Shu-Cherng, Lavery, John E.   +2 more
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Bernstein–Kantorovich operators, approximation and shape preserving properties

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
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 Raşa, Ancuţa Emilia Şteopoaie   +2 more
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Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant

Computers & Mathematics with Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenwu Gao, Zongmin Wu
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Shape preserving approximation properties to family of α-Bernstein shifted knot operators

Journal of Inequalities and Applications
The main idea of this paper is to obtain approximation results by utilizing the shifted knots properties of the family of α-Bernstein operators. We examine some basic results and estimate the moments of this new family of α-Bernstein operators. We derive
Mohammad Ayman-Mursaleen, Esmail Alshaban, Md. Nasiruzzaman   +2 more
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Shape-preserving properties of ω,q-Bernstein polynomials [PDF]

Linear Algebra and its Applications, 2009
Let \([k]_q:=1+q+\cdots+q^{k-1}\), \([k]_q!:=[1]_q[2]_q\dots [k]_q\) and \((a;q)_k:=\prod_{s=0}^{k-1}(1-aq^s)\). The generalized binomial coefficient is defined as \(\left[\begin{matrix} n \\ k \end{matrix} \right]_q:=\dfrac{[n]_q!}{[k]_q![n-k]_q!}\). The paper deals with the \(\omega,q\)-Bernstein polynomials, which are given by \[ B_n^{\omega,q}(f;x):
Wang, Heping
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Shape-Preserving and Convergence Properties for the q-Szász-Mirakjan Operators for Fixed q∈(0,1)

Abstract and Applied Analysis, 2014
We introduce a q-generalization of Szász-Mirakjan operators Sn,q and discuss their properties for fixed q∈(0,1). We show that the q-Szász-Mirakjan operators Sn,q have good shape-preserving properties.
Heping Wang, Fagui Pu, Kai Wang
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Perceptually motivated shape evolution with shape-preserving property [PDF]

Pattern Recognition Letters, 2008
In this paper we introduce a novel concept of shape evolution. It is perceptually motivated and takes the local shape symmetry into account. In particular, during the new shape evolution the shape parts in accordance with the human perception are removed step by step and the coarse parts remain geometrically unchanged during removing the fine parts ...
Sergej Lewin, Xiaoyi Jiang 0001, Achim Clausing   +2 more
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Approximation Properties of Parametric Kantorovich-Type Operators on Half-Bounded Intervals

Mathematics, 2023
The main purpose of this paper is to introduce a new family of parametric Kantorovichtype operators on the half-bounded interval. The convergence properties of these new operators are investigated.
Hui Dong, Qiulan Qi
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