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Chebyshev polynomials

Known as: Chebyshev polynomials/Proofs, Tchebyscheff polynomial, Chebyshev root 
In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's… 
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Related topics

Related topics

37 relations
Analogue filterApproximation theoryBasis functionChebfun

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2009
2009
Carlitz's q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions
2005
2005
Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method
2005
2005
A sampling expansion for nonbandlimited signals in chromatic derivatives
In this paper, we construct infinite-band filterbanks for perfect reconstruction (PR) using Hermite polynomials and Hermite… 
2004
2004
Arbitrary waveform DDFS utilizing Chebyshev polynomials interpolation
A new technique of arbitrary waveform direct digital frequency synthesis (DDFS) is introduced. In this method, one period of the… 
2002
2002
Integration Using Chebyshev Polynomials
In this chapter we show how Chebyshev polynomials and some of their fundamental properties can be made to play an important part… 
2000
2000
Discrete Orthognal Moment Features Using Chebyshev Polynomials
This paper introduces a new set of moment functions based on Chebyshev polynomials which are orthogonal in the discrete domain of… 
Highly Cited
1986
Highly Cited
1986
Dynamic Simulation of Chemical Engineering Systems by the Sequential Modular Approach
1979
1979
Model reduction by Chebyshev polynomial techniques
The problem of reduced-order modeling of high-order, linear, time-invariant, single-input, single-output systems is considered. A… 
Highly Cited
1977
Highly Cited
1977
Objective function approximations in mathematical programming
Mathematical programming applications often require an objective function to be approximated by one of simpler form so that an… 
1964
1964
The iterative solution of non-linear ordinary differential equations in Chebyshev series
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