[PDF] Top 20 Order of approximation by an operator involving biorthogonal polynomials
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Order of approximation by an operator involving biorthogonal polynomials
... The goal of this paper is to estimate the rate of convergence of a linear positive operator involving Konhauser polynomials to bounded variation functions on [0, 1]. To prove our main result, we have ... See full document
13
Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
... Up until now, to the best of the authors knowledge, the main approach for solving the variable order time fractional diffusion equation is finite difference method. Lin et al. [13] applied an explicit finite ... See full document
5
Higher order derivatives of approximation polynomials on \(\mathbb{R}\)
... Leviatan [] has investigated the behavior of the higher order derivatives of approximation polynomials for the differentiable function f on [–, ], as follows.. In this paper, we will g[r] ... See full document
15
Wavelet Theory Demystified pdf
... properties: order of approximation, reproduction of polynomials, vanishing moments, multiscale differentiation property, and smoothness (regularity) of the basis ... See full document
14
Degree of approximation theorems for approximation with side conditions
... of uniform approximation of a function, f, on an interval, by polynomials of degree not exceeding V satisfying a fixed set of Hermite-Birkhoff interpolatory side conditions of order K...[r] ... See full document
82
The Approximation of Hermite Interpolation on the Weighted Mean Norm
... Abstract We research the simultaneous approximation problem of the higher-order Hermite interpolation based on the zeros of the second Chebyshev polynomials under weighted Lp-norm.. The [r] ... See full document
6
On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators
... Recently, Mursaleen et al. applied (p, q)-calculus in approximation theory and introduced first (p, q)- analogue of Bernstein operators. They investigated uniform convergence of the operators and order of ... See full document
12
Differential Quadrature Method for Fractional Logistic Differential Equation
... for approximation of fractional derivatives are derived and are utilized to reduce the Logistic differential equation to system of algebraic ...gence order of the proposed method is investigated in the ... See full document
7
Some Properties of Orthogonal Polynomials for Laguerre Type Weights
... Sakai, “Convergence of the derivatives of Hermite-Fejér interpolation polynomials of higher order based at the zeros of Freud polynomials,” Journal of Approximation Theory, vol.. Sakai,[r] ... See full document
25
Multiple Scattering Theory for Polycrystalline Materials with Strong Grain Anisotropy: Theoretical Fundamentals and Applications
... The first-order-smoothing approximation (FOSA) and the ladder approximation are adopted to obtain the explicit expression of the mass operator and the intensity operat[r] ... See full document
37
Approximation Operator Based on Neighborhood Systems
... In order to show the structures of N (X) and N (X) more clearly, we introduce the conception of Alexander topological space. Let (U, C, N ) be a covering approximation space. As a topological base, N can ... See full document
12
Approximation operator based on neighborhood systems
... In order to show the structures of N (X) and N (X) more clearly, we introduce the conception of Alexander topological space. Let (U, C, N ) be a covering approximation space. As a topological base, N can ... See full document
12
Pointwise Approximation Theorems for Combinations of Bernstein Polynomials with Inner Singularities
... . Approximation properties of Bernstein operators have been studied very well (see [2-7], for ...In order to approximate the functions with singularities, Della Vecchia et ... See full document
9
On a Fractional Differential Operator Involving Multivariable Gimel-Function and Product of General Class of Polynomials
... mutivariable polynomials occurring on the left-hand side of ...the order of summations and integrations, which is justified under the conditions mentioned above, we have (say ... See full document
8
Some identities involving Gegenbauer polynomials
... Gegenbauer polynomials with an integer parameter and obtain the first few terms in the asymptotic expansion as the degree of the polyno- mial tends to ...Gegenbauer polynomials C n (λ) (x) in the case ... See full document
11
On an operator preserving inequalities between polynomials
... RASSIAS, Topics in Polynomials: Extremal Properties, Inequalities, Zeros, World scientific Publishing Co., Singapore, (1994).. [8] G.[r] ... See full document
15
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions
... Bernstein polynomials have many applications: in approximations of functions, in statistics, in numerical analysis, in p-adic analysis and in the solution of differential equa- ...These polynomials are ... See full document
13
The convergence of \((p,q)\) Bernstein operators for the Cauchy kernel with a pole via divided difference
... The uniform convergence of a sequence of operators to a continuous function was in- troduced by Bohman [9] and Korovkin [16]. Through q-calculus various modifications of Bernstein operators [7] have been studied so far ... See full document
11
Some Finite Double Integral Formulae Involving Generalized Multivariable Gimel-Function
... To prove (3.1), on the lef hand side of (2.1), using the series representation of with the help of (1.15) and expressing the generalized multivariable Gimel-function as Mellin-Barnes multiple integrals contour with the ... See full document
11
Integrals and Fourier series involving the product of biorthogonal polynomials and special functions
... like biorthogonal polynomials, Aleph-function, multivariable aleph- function and the general class of multivariable ...like biorthogonal polynomials, Aleph-function, multivariable ... See full document
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