Results 41 to 50 of about 63,646 (142)

Shape-preserving properties and asymptotic behaviour of the semigroup generated by the Black-Scholes operator [PDF]

Czechoslovak Mathematical Journal, 2008
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Attalienti, Antonio, Rasa, Ioan
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Note on the shape-preservation of a new class of Kantorovich-type operators via divided differences

Demonstratio Mathematica
Shape-preserving approximation is a significant approximation method that has many application areas, such as computer-based geometric design, image processing, geodesy, chemistry, and robotics.
Turhan Nezihe
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Negative property of shape-preserving finite-dimensional linear operators

Applied Mathematics Letters, 2003
The paper deals with a linear operator \(L_n:C^k[0,1]\mapsto C^k[0,1]\), of finite rank \(n+1\), which satisfies \(D^kL_ne_k=D^ke_k\), where \(e_i(x):=x^i\), \(i\geq0\), and \(D^k\) denotes the \(k\)th derivative. If the operator preserves a certain cone \(C_{h,k}(\sigma)\) (described below), then the main result claims that not all the \(k\)th ...
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Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks

Journal of Numerical Analysis and Approximation Theory, 2007
In this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are ...
Sorin G. Gal
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Modular Construction of Shape-Numeric Analyzers [PDF]

Electronic Proceedings in Theoretical Computer Science, 2013
The aim of static analysis is to infer invariants about programs that are precise enough to establish semantic properties, such as the absence of run-time errors.
Bor-Yuh Evan Chang, Xavier Rival
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C1 rational quadratic trigonometric spline

Egyptian Informatics Journal, 2013
A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
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Positivity-Preserving Rational Cubic Fractal Interpolation Function Together with Its Zipper Form

Axioms
In this paper, a novel class of rational cubic fractal interpolation function (RCFIF) has been proposed, which is characterized by one shape parameter and a linear denominator.
Shamli Sharma, Kuldip Katiyar, Gadug Sudhamsu, Manjinder Kaur Wratch, Rohit Salgotra   +4 more
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Shape preserving properties and convergence of univariate multiquadric quasi-interpolation

Acta Mathematicae Applicatae Sinica, 1994
The authors show that the quasi-interpolation with multiquadrics on scattered points preserves convexity, linearity and monotonicity. An error bound is also obtained.
Wu, Zongmin, Schaback, Robert
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A Bernstein-Like Trigonometric Basis: Properties, Curve Design, and Operator Construction

Journal of Applied Mathematics
We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier-like curves, termed “trigo-curves”, which retain the fundamental ...
Jamshid Saeidian, Bahareh Nouri, Aram Azizi   +2 more
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Constrained Interpolation via Cubic Hermite Splines

پژوهش‌های ریاضی, 2018
Introduction In industrial designing and manufacturing, it is often required to generate a smooth function approximating a given set of data which preserves certain shape properties of the data such as positivity, monotonicity, or convexity, that is, a ...
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