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Everything about Chebyshev function
Mathematical function
In mathematics, the Chebyshev function is either a scalarising function (Tchebycheff function) or one of two related functions. The first Chebyshev function ϑ(x) or θ(x) is given by Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Chebyshev functionA 5-minute orientation
- Skim a recent paper: A simplified decision feedback Chebyshev function link neural network with intelligent initialization for underwater acoustic channel equalizationInfluential work since 2022
- Pick up a classic book: Numerical linear approximation in CThe most-reprinted book on the subject
- Read the landmark paper: Rational Chebyshev approximations for the error functionCited 218 times
- Go sideways: Von Mangoldt functionA closely related topic
- Go sideways: Prime number theoremA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Rational Chebyshev approximations for the error function
Chebyshev Polynomial Approximations and Characteristic Function Estimation
Sharper bounds for the Chebyshev function 𝜃(𝑥)
Chebyshev approximation with respect to a weight function
Chebyshev Approximation Using a Generalized Weight Function
Chebyshev approximations of a function and its derivatives
Near optimality of Chebyshev interpolation for elementary function computations
Chebyshev Inequality in Function Spaces
🆕 Influential since 2022
A simplified decision feedback Chebyshev function link neural network with intelligent initialization for underwater acoustic channel equalization
$(p,q)$-Chebyshev polynomials for the families of biunivalent function associating a new integral operator with $(p,q)$-Hurwitz zeta function
Estimates of the Chebyshev Radius in Terms of the MAX-Metric Function and the MAX-Projection Operator
A numerically stable high-order Chebyshev-Halley type multipoint iterative method for calculating matrix sign function
Sharper bounds for the Chebyshev function ψ(x)
📚 Books worth reading
Numerical linear approximation in CNabih N. Abdelmalek, Nabih Abdelmalek · 2008- 📕Tables for Lagrangian interpolation using Chebyshev pointsHerbert E. Salzer, Norman Levine · 1984
- 📕High-precision Chebyshev series approximation to the exponential integralKin L. Lee · 1970
- 📕Annäherung von Funktionen mit Hilfe Tschebyscheffscher PolynomeMartha Näbauer · 1955
- 📕The Chebyshev-Legendre method: implementing Legendre methods on Chebyshev pointsWai Sun Don · 1993
- 📕Mathematical approximation of special functionsGéza Németh · 1992
- 📕Computation of minimax polynomial approximationsMaria Odete Rodrigues Cadete · 1970
- 📕Orthogonal polynomial approximation methods in numerical analysisJ. C. Mason · 1969
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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