Results 11 to 20 of about 4,343 (294)

Hermite Subdivision Schemes and Taylor Polynomials [PDF]

open access: yesConstructive Approximation, 2008
The authors propose a general study of the convergence of a Hermite subdivision scheme \(\mathcal H\) of degree \(d>0\) in dimension \(1\). Under the spectral condition, authors transform the Hermite subdivision scheme \(\mathcal H\) into the Taylor subdivision scheme \(\mathcal S\).
Dubuc, Serge, Merrien, Jean-Louis
openaire   +6 more sources

Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials [PDF]

open access: yesArab Journal of Basic and Applied Sciences
In this study, asymptotic formulas for complex order Tangent, Tangent-Bernoulli, and Tangent-Genocchi polynomials are obtained through the method of contour integration, strategically avoiding branch cuts in the process.
Cristina B. Corcino   +3 more
doaj   +2 more sources

Bi-univalent characteristics for a particular class of Bazilevič functions generated by convolution using Bernoulli polynomials [PDF]

open access: yesArab Journal of Basic and Applied Sciences
Special functions and special polynomials have been used and studied widely in the context of Geometric function theory of Complex Analysis by the many authors.
G. Saravanan   +4 more
doaj   +2 more sources

Formal Verification of Medina's Sequence of Polynomials for Approximating Arctangent [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
The verification of many algorithms for calculating transcendental functions is based on polynomial approximations to these functions, often Taylor series approximations. However, computing and verifying approximations to the arctangent function are very
Ruben Gamboa, John Cowles
doaj   +1 more source

Approximate solution of linear integral equations by Taylor ordering method: Applied mathematical approach

open access: yesOpen Physics, 2022
Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha   +8 more
doaj   +1 more source

Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces

open access: yesAxioms, 2020
In this paper we investigate analytic functions of unbounded type on a complex infinite dimensional Banach space X. The main question is: under which conditions is there an analytic function of unbounded type on X such that its Taylor polynomials are in ...
Andriy Zagorodnyuk, Anna Hihliuk
doaj   +1 more source

Convergence of the matrix method of numerical integration of the boundary value problems for linear nonhomogeneous ordinary differential second order equations with variable coefficients

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
The problems of stability and convergence of previously proposed matrix method of numerical integration of boundary value problems with boundary conditions of the first, second and third kinds of nonhomogeneous linear ordinary differential second order ...
Vladimir N Maklakov
doaj   +1 more source

Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]

open access: yes, 2003
19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
López Lagomasino, Guillermo   +2 more
core   +1 more source

Taylor collocation method for systems of high-order linear differential–difference equations with variable coefficients

open access: yesAin Shams Engineering Journal, 2013
A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
doaj   +1 more source

Summation identities involving certain classes of polynomials [PDF]

open access: yes, 2013
In some recent investigations involving differential operators for a general family of Lagrange polynomials, Chen et al. [Some new results for the Lagrange polynomials in several variables, ANZIAM J. 49 (2007), pp.
Shuoh-Jung Liu; Shy-Der Lin; Chen, Kung-yu; H. M. Srivastava   +1 more
core   +1 more source

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