Results 11 to 20 of about 221,329 (275)
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
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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 +5 more
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Shape Preserving Properties of Parametric Szász Type Operators on Unbounded Intervals [PDF]
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,
Hui Dong, Qiulan Qi
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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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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 +2 more
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Bases for shape preserving curves [PDF]
Journal of Numerical Analysis and Approximation Theory, 2003 The shape preserving properties of a curve in \(\mathbb{R}^2\) depend on the properties of the function basis we use in its representation. Both sign consistent and totally positive bases have shape preserving properties useful in Computer Aided ...
Francesca Pitolli
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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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Shape Preserving Properties for q-Bernstein-Stancu Operators [PDF]
Journal of Mathematics, 2014 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 and asymptotic behaviour of the semigroup generated by the Black-Scholes operator [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Attalienti, Antonio, Rasa, Ioan
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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
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