Bernstein Polynomial
A note on degenerate Bernstein polynomials
... by Bernstein in a constructive proof for the Stone– Weierstrass approximation theorem (see [2, 6, ...graphics, Bernstein polynomials, restricted to the interval [0, 1], became important in the form of ...
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Pointwise Approximation Theorems for Combinations of Bernstein Polynomials with Inner Singularities
... that Bernstein polynomials are very important in studying the characters of smoothness in theory of ...of Bernstein operators are given in ...the Bernstein-Markov inequalities with step-weight ...
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Call option price function in Bernstein polynomial basis with no arbitrage inequality constraints
... We propose an efficient method for the construction of an arbitrage-free call option price function from observed call price quotes. The no-arbitrage theory of option pricing places various shape constraints on the option ...
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On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
... In this paper, operational matrices of Bernstein polynomials (BPs) are presented for solving the non-linear fractional Logistic differential equation (FLDE). The fractional derivative is described in the ...
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ON (p; q)-ANALOG OF STANCU-BETA OPERATORS AND THEIR APPROXIMATION PROPERTIES
... of Bernstein operators ...of Bernstein-Stancu operators [14], Bleimann- Butzer-Hahn operators [16], Bernstein-Schurer operarors [17] were introduced and their approximation properties were ...
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Genuine modified Bernstein–Durrmeyer operators
... Bernstein polynomials have a crucial role in the theory of approximation by positive linear operators due to their simple and useful structure. In their long historical progress, differ- ent types of research were ...
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Unification of the Bernstein-type polynomials and their applications
... The Bernstein polynomials have been defined by many different ways, for example, by q-series, by complex function and by many ...The Bernstein polyno- mials are used in approximations of functions as well as ...
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On Bernstein type polynomials and their applications
... the Bernstein polynomials are also used in the ap- proximation of functions, in statistics, in numerical analysis, in p-adic analysis, and in the solution of differential ...flexible Bernstein type ...
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A Study on the Adic Integral Representation on Associated with the Weighted Bernstein and Bernoulli Polynomials
... In this paper, we consider the weighted q-Bernstein polynomials to express the bosonic q-integral on p and investigate some properties of the weighted q-Bernstein polynomials associated [r] ...
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On \((p,q)\) Szász Mirakyan operators and their approximation properties
... of Bernstein polynomials based on ...of Bernstein operators ...of Bernstein-Stancu operators [], Bleimann-Butzer-Hahn operators [], and Bernstein-Schurer operarors [] were defined and their ...
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Approximation by complex Durrmeyer Stancu type operators in compact disks
... complex Bernstein polynomials in compact disks were initially studied by Lorentz ...complex Bernstein poly- nomials in compact disks was obtained by Gal [] Also, in [–] similar results for com- plex ...
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On \((p,q)\) analogue of two parametric Stancu Beta operators
... classical Bernstein operators in ...classical Bernstein polynomials is due to Phillips ...generalized Bernstein-Schurer operators [], weighted statistical approxima- tion by Kantorovich-type ...
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Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network
... In literatures, different numerical methods used to solve 2-dimensional (MVFIEs) have been reported. In (1) Babolian et al. applied block pulse function and their operational matrix to solve (MVFIEs) in 2-dimensional ...
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A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries
... in Bernstein polynomial basis is implemented to obtain an approximate solution of a nonclassical parabolic equation subject to given ini- tial and moving boundary ...of Bernstein polynomials and the ...
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q Bernstein Schurer Kantorovich Operators
... Muraru [] introduced and investigated the q-Bernstein-Schurer operators. She ob- tained the Korovkin-type approximation theorem and the rate of convergence of the op- erators in terms of the first modulus of ...
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Stratified Finite Empirical Bernstein Sampling
... This inequality considers factors such as: the sizes of all the strata and the proportion of each that are sampled, the sample variances of the samples from each of the strata, the diffe[r] ...
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—AG1 approximation method of conic sections
... A LTHOUGH rational B´ezier curves are the standard in the Initial Graphics Exchange Specification (IGES), some Computer Aided Design (CAD) systems only use polynomial expressions to deal with parametric curves. ...
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Approximation properties of λ Bernstein operators
... In this paper, we introduce a new type λ -Bernstein operators with parameter λ ∈ [–1, 1], we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem ...
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Bernstein properties for α complete hypersurfaces
... the Bernstein property of relative surfaces with complete α ...new Bernstein type theorem for affine maximal surface and relative extremal ...the Bernstein theorem for the affine Kähler-Ricci flat graph ...
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Bernstein-type theorem for ϕ-Laplacian
... Wang, X., Liu, Q., Qian, D.: Existence and multiplicity results for some nonlinear problems with singular φ -Laplacian via a geometric approach. Bernstein, S.: Sur les équations du calcu[r] ...
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