Mohammad A. ALQUDAH

89100

Generalized Chebyshev polynomials of the second kind

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. These polynomials can be used to describe the approximation of continuous functions by Chebyshev interpolation and Chebyshev series and how to efficiently compute such approximations. We conclude the paper with some results concerning integrals of the generalized Chebyshev-II and Bernstein polynomials.

Anahtar Kelimeler:

Generalized Chebyshev polynomials, Bernstein basis, Eulerian integral

Generalized Chebyshev polynomials of the second kind

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. These polynomials can be used to describe the approximation of continuous functions by Chebyshev interpolation and Chebyshev series and how to efficiently compute such approximations. We conclude the paper with some results concerning integrals of the generalized Chebyshev-II and Bernstein polynomials.

Keywords:

Generalized Chebyshev polynomials, Bernstein basis, Eulerian integral,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

Jacobi-spectral method for integro-delay differential equations with weakly singular kernels

On Condition $(PWP)_{w}$ for $S$-posets

Xingliang LIANG, Yanfeng LUO

Magnetic curves on flat para-K\"ahler manifolds

MOHAMED JLELI, MARIAN IOAN MUNTEANU

Some properties of a class of analytic functions defined by generalized Struve functions

Nihat YAGMUR, Mohsan RAZA

The iteration digraphs of finite commutative rings

Yangjiang WEI, Gaohua TANG

On the block sequence space lp(E) and related matrix transformations

Davoud FOROUTANNIA

On the block sequence space $l_p(E)$ and related matrix transformations

Davoud FOROUTANNIA

Magnetic curves on flat para-K¨ahler manifolds

Mohamed JLELI, Marian Ioan MUNTEANU

On Condition (PW P)w for S-posets

Xingliang LIANG, Yanfeng LUO

Mohammadreza MOLAEI, Hassan MALEKI