The Characteristics of the First Kind of Chebyshev Polynomials and its Relationship to the Ordinary Polynomials

Ikhsan Maulidi (Departement of Mathematics, Syiah Kuala University)
Bonno Andri Wibowo (Department of Mathematics, Institut Teknologi Sumatera)
Vina Apriliani (Department of Mathematics Education, Universitas Islam Negeri Ar-Raniry)
Rofiqul Umam (School of Science and Technology, Kwansei Gakuin University)

JTAM (Jurnal Teori dan Aplikasi Matematika)
Vol 5, No 2 (2021): October

In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number. The symmetry and orthogonality of the Chebyshev polynomial has also been demonstrated using the explicit solutions obtained. Furthermore, we have also given how to approx the polynomial function using the Chebyshev polynomials.