Approximation of Continuous Functions by Monotone Sequences of Polynomials with Restricted Coefficients
S.G. Gal (1988)
Publications de l'Institut Mathématique
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Displaying similar documents to “Nearly Coconvex Approximation”
Approximation of Continuous Functions by Monotone Sequences of Polynomials with Restricted Coefficients
On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
M. A. Qazi (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
Characterization of the smoothness of functions with a given order of approximation by polynomials on the real line
V. M. Fedorov (1989)
Banach Center Publications
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On restricted derivative approximation
Zi-Xiao Yang, Bu-Xi Li (1990)
Compositio Mathematica
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The theory of uniform approximation I. Non-asymptotic theoretical problems
S. Paszkowski
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CONTENTSIntroduction..................................................................................................................................................................................... 3CHAPTER I. Basic properties of the best polynomials1. Existence, uniqueness and the characteristic properties of the best polynomials............................................................................... 62. The direct application of the theorem concerning the (n, F)-points to...
Diophantine approximation in power series fields
Wolfgang Schmidt (1977)
Acta Arithmetica
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Lacalgebra versions of Lanczos tau method for the numerical solution of differential equations
Silva, M. Rogério de J. da (1982)
Portugaliae mathematica
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Hausdorff Approximation of Functions Different from Zero at One Point - Implementation in Programming Environment Mathematica
Kyurkchiev, Nikolay, Andreev, Andrey (2013)
Serdica Journal of Computing
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ACM Computing Classification System (1998): G.1.2. Moduli for numerical finding of the polynomial of the best Hausdorff approximation of the functions which differs from zero at just one point or having one jump and partially constant in programming environment MATHEMATICA are proposed. They are tested for practically important functions and the results are graphically illustrated. These moduli can be used for scientific research as well in teaching process of Approximation...
The Weierstrass theorem on polynomial approximation
Rudolf Výborný (2005)
Mathematica Bohemica
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In the paper a simple proof of the Weierstrass approximation theorem on a function continuous on a compact interval of the real line is given. The proof is elementary in the sense that it does not use uniform continuity.