Results 91 to 100 of about 1,343 (179)

Derivatives of Bernstein Polynomials and Smoothness [PDF]

Proceedings of the American Mathematical Society, 1985
Equivalence relations between the asymptotic behaviour of derivatives of Bernstein polynomials and the smoothness of the function they approximate are given. This is achieved with an a priori condition that the function is of class
openaire   +2 more sources

Weighted A-Statistical Convergence for Sequences of Positive Linear Operators

The Scientific World Journal, 2014
We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a
S. A. Mohiuddine, Abdullah Alotaibi, Bipan Hazarika   +2 more
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Refinements of inequalities on extremal problems of polynomials

Open Mathematics
Let H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni, Singh Thangjam Birkramjit, Chanam Barchand   +2 more
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Implementations of the Improved AKS Primality Testing Algorithm

工程科学与技术, 2009
:The AKS algorithm successfully solved the noted problem of deterministic primality testing in polynomial time, but it was not yet suitable for the real application, thus it was improved in series.
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A generalization of an inequality of Zygmund

International Journal of Mathematics and Mathematical Sciences, 1993
The well known Bernstein Inequallty states that if D is a disk centered at the origin with radius R and if p(z) is a polynomial of degree n, then maxz∈D|p′(z)|≤nRmaxz∈D|p(z)| with equality iff p(z)=AZn.
R. Peretz
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Novel Approximate Solutions for Nonlinear Blasius Equations

Ibn Al-Haitham Journal for Pure and Applied Sciences
The method of operational matrices based on different types of polynomials such as Bernstein, shifted Legendre and Bernoulli polynomials will be presented and implemented to solve the nonlinear Blasius equations approximately. The nonlinear differential
Amna M. Mahdi, Majeed A. AL-Jawary , Mustafa Turkyilmazoglu   +2 more
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Bernstein Operational Matrix Approach for Integro-Differential Equation Arising in Control theory

Nonlinear Engineering, 2014
The aim of this paper is to propose an efficient numerical method for solving the integro-differential equations arising in many braches of sciences using Bernstein polynomials.
Irfan Nagma, Kumar Sunil, Kapoor Saurabh
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Superconvergence of Mixed Finite Element Method with Bernstein Polynomials for Stokes Problem

Axioms
In this paper, we employ interpolation and projection methodologies to establish a superconvergence outcome for the Stokes problem, as approximated by the mixed finite element method (FEM) utilizing Bernstein polynomial basis functions.
Lanyin Sun, Siya Wen, Ziwei Dong
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Rational analogues of Bernstein–Szabados operators on several intervals

Қарағанды университетінің хабаршысы. Математика сериясы
Bernstein polynomials play a very important role in approximation theory, probability theory, computer aided geometric design and many other areas. In 2017 J.
A.L. Lukashov
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Direct Estimation for Approximation by Bernstein Polynomial by Using Ditzian-Totik and Average in L Ja,h11 p < oo Modulus of Smoothness

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
The  purpose  of  the  paper  is  to  tind  the  degree  of  the approximation of a functions  f be bounded , measurable and defined in  interval   [a,h]by  Bernstein  polynomial  in  LP    space  1 $ p < oo by   using Ditzian-Totik modulus  of
N. M. Kasim
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