Results 21 to 30 of about 63,646 (142)
Shape preserving approximation properties to family of α-Bernstein shifted knot operators
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 +2 more
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Wenwu Gao, Zongmin Wu
exaly +2 more sources
Perceptually motivated shape evolution with shape-preserving property [PDF]
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 +2 more
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Approximation Properties of Parametric Kantorovich-Type Operators on Half-Bounded Intervals
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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Shape Preserving Properties for q-Bernstein-Stancu Operators
We investigate shape preserving for q-Bernstein-Stancu polynomials Bnq,α(f;x) introduced by Nowak in 2009. When α=0, Bnq,α(f;x) reduces to the well-known q-Bernstein polynomials introduced by Phillips in 1997; when q=1, Bnq,α(f;x) reduces to Bernstein ...
Yali Wang, Yinying Zhou
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Shape preserving properties of univariate Lototsky–Bernstein operators
The main goal of the present paper is to study shape preserving properties of univariate Lototsky-Bernstein operators, which are based on Lototsky-Bernstein basis functions. The Lototsky-Bernstein basis functions \(b_{n,k} (x)\) (\(0 \leq k\leq n\)) of order \(n\) are constructed by replacing \(x\) in the \(i\)th factor of the generating function for ...
Xiao-Wei Xu 0007 +2 more
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Shape preserving properties of generalized Bernstein operators on Extended Chebyshev spaces [PDF]
We study the existence and shape preserving properties of a generalized Bernstein operator $B_{n}$ fixing a strictly positive function $f_{0}$, and a second function $f_{1}$ such that $f_{1}/f_{0}$ is strictly increasing, within the framework of extended Chebyshev spaces $U_{n}$. The first main result gives an inductive criterion for existence: suppose
J. M. Aldaz +2 more
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Shape-Preservation of the Four-Point Ternary Interpolating Non-stationary Subdivision Scheme
In this paper, we present the shape-preserving properties of the four-point ternary non-stationary interpolating subdivision scheme (the four-point scheme). This scheme involves a tension parameter.
Pakeeza Ashraf +4 more
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Shape-preserving properties of univariate cubic \(L_{1}\) splines
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Cheng, Hao +2 more
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Beta-type operators preserve shape properties
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Adell, JoséA. +2 more
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