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Discrete Chebyshev polynomials

Index Discrete Chebyshev polynomials

In mathematics, discrete Chebyshev polynomials, or Gram polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced by and rediscovered by. [1]

15 relations: Approximation theory, Bilinear form, Coefficient, Continuous function, Definite quadratic form, Discrete orthogonal polynomials, Indexed family, Integer, Interval (mathematics), Journal of Approximation Theory, Kummer's function, Norm (mathematics), Polynomial, Smoothness, Unit vector.

Approximation theory

In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.

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Bilinear form

In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map, where K is the field of scalars.

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Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.

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Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

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Definite quadratic form

In mathematics, a definite quadratic form is a quadratic form over some real vector space that has the same sign (always positive or always negative) for every nonzero vector of.

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Discrete orthogonal polynomials

In mathematics, a sequence of discrete orthogonal polynomials is a sequence of polynomials that are pairwise orthogonal with respect to a discrete measure.

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Indexed family

In mathematics, an indexed family is informally a collection of objects, each associated with an index from some index set.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

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Journal of Approximation Theory

The Journal of Approximation Theory is "devoted to advances in pure and applied approximation theory and related areas.".

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Kummer's function

In mathematics, there are several functions known as Kummer's function.

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Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

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Unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.

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Discrete Chebyshev polynomial, Discrete Cheyshev polynomials, Discrete Tchebichef polynomial, Discrete Tchebichef polynomials, Discrete Tchebyscheff polynomial, Discrete Tchebyscheff polynomials, Gram polynomial, Gram polynomials.

References

[1] https://en.wikipedia.org/wiki/Discrete_Chebyshev_polynomials

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