Results 21 to 30 of about 34,271 (206)

On the Generalized Gaussian Fibonacci Numbers and Horadam Hybrid Numbers: A Unified Approach

Axioms, 2022
In this paper, we consider an approach based on the elementary matrix theory. In other words, we take into account the generalized Gaussian Fibonacci numbers. In this context, we consider a general tridiagonal matrix family.
Fatih Yılmaz, Mustafa Özkan
doaj   +1 more source

Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials

Mathematics, 2018
In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon   +3 more
doaj   +1 more source

Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation

Partial Differential Equations in Applied Mathematics, 2023
In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation.
Adnan K. Farhood, Osama H. Mohammed
doaj   +1 more source

Trivariate polynomial approximation on Lissajous curves [PDF]

, 2015
We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len, De Marchi, Stefano, Vianello, Marco   +2 more
core   +2 more sources

Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials

Mathematics, 2020
In this paper, we consider three sums of finite products of Chebyshev polynomials of two different kinds, namely sums of finite products of the second and third kind Chebyshev polynomials, those of the second and fourth kind Chebyshev polynomials, and ...
Taekyun Kim, Dae San Kim, Hyunseok Lee, Jongkyum Kwon   +3 more
doaj   +1 more source

Least Squares Method For Solving Integral Equations With Multiple Time Lags [PDF]

Engineering and Technology Journal, 2010
The main purpose of this work is to propose an approximate method to solveintegral equation with multiple time lags (IEMTL) namely least squares methodwith aid of Chebyshev polynomials of (first, second, third, and fourth)kinds.Example is given as an ...
Suha N. Shehab, Hayat Adel Ali, Hala Mohammed Yaseen   +2 more
doaj   +1 more source

On the Connection Coefficients of the Chebyshev-Boubaker Polynomials

The Scientific World Journal, 2013
The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials.
Paul Barry
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Brauer-Type Inclusion Sets of Zeros for Chebyshev Polynomial

Mathematics, 2019
The generalized polynomials such as Chebyshev polynomial and Hermite polynomial are widely used in interpolations and numerical fittings and so on. Therefore, it is significant to study inclusion regions of the zeros for generalized polynomials.
Xiao Feng, Yaotang Li
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

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