Research

Journal of Inequalities and Applications

, 2012:167

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Some properties of Chebyshev polynomials

  • Seon-Hong KimAffiliated withDepartment of Mathematics, Sookmyung Women’s University Email author 

Abstract

In this paper we obtain some new bounds for Chebyshev polynomials and their analogues. They lead to the results about zero distributions of certain sums of Chebyshev polynomials and their analogues. Also we get an interesting property about the integrals of certain sums of Chebyshev polynomials.

Keywords

Chebyshev polynomials bounds sums zeros