Results 31 to 40 of about 31,852 (174)

Properties and examples of Faber--Walsh polynomials [PDF]

, 2016
The Faber--Walsh polynomials are a direct generalization of the (classical) Faber polynomials from simply connected sets to sets with several simply connected components.
Liesen, Jörg, Sète, Olivier
core   +1 more source

RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Проблемы анализа, 2020
We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
doaj   +1 more source

Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems [PDF]

Mathematics and Computational Sciences, 2022
The variational iteration algorithm using shifted Chebyshev polynomials of the third kind was used to obtain the numerical solution of seventh order Boundary Value Problems(PVBs) in this paper.
Christie Yemisi Ishola, Musiliu Tayo Raji, Mutiu Lawal Olaosebikan, Mfon Okon Etuk, Asimiyu Olalekan Oladapo, Aduragbemi Adekunle Victor   +5 more
doaj   +1 more source

Generalized Chebyshev polynomials of the second kind

, 2015
We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis.
AlQudah, Mohammad A.
core   +1 more source

Some results on complex $(p,q)- $extnsion Chebyshev wavelets [PDF]

Journal of Mahani Mathematical Research
In this paper, we propose a generalized formula for well-known functions such as $(p,q)$-Chebyshev polynomials. Our  consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest ...
H. Mazaheri, A.W. Safi, S.M. Jesmani
doaj   +1 more source

Properties of the second-kind Chebyshev polynomials of complex variable

Researches in Mathematics, 2020
We construct a system of functions biorthogonal with Chebyshev polynomials of the second kind on closed contours in the complex plane. Properties of these functions and sufficient conditions of expansion of analytic functions into series in Chebyshev ...
O.V. Veselovska, V.V. Dostoina, M.I. Klapchuk   +2 more
doaj   +1 more source

Characterization of the generalized Chebyshev-type polynomials of first kind

, 2015
Orthogonal polynomials have very useful properties in the solution of mathematical problems, so recent years have seen a great deal in the field of approximation theory using orthogonal polynomials.
AlQudah, Mohammad A.
core   +2 more sources

An approximate solution of the Blasius problem using spectral method

Partial Differential Equations in Applied Mathematics
This paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat, Azad Akhter Siddiqui, M. Huzaifa Yaseen, M. Ijaz Khan, Barno Sayfutdinovna Abdullaeva, M. Waqas, Manish Gupta   +6 more
doaj   +1 more source

Cosmographic analysis with Chebyshev polynomials

, 2017
The limits of standard cosmography are here revised addressing the problem of error propagation during statistical analyses. To do so, we propose the use of Chebyshev polynomials to parameterize cosmic distances.
Capozziello, Salvatore, D'Agostino, Rocco, Luongo, Orlando   +2 more
core   +1 more source

On Polynomial Multiplication in Chebyshev Basis

, 2012
In a recent paper Lima, Panario and Wang have provided a new method to multiply polynomials in Chebyshev basis which aims at reducing the total number of multiplication when polynomials have small degree.
Giorgi, Pascal
core   +3 more sources