Approximation of continuous functions by monotone sequences of generalized polynomials with restricted coefficients.
Gal, S.G. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Gal, S.G. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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V. M. Fedorov (1989)
Banach Center Publications
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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.
R. B. Saxena (1963)
Publications de l'Institut Mathématique
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P. Erdös (1962)
Annales Polonici Mathematici
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A. Offord (1948)
Fundamenta Mathematicae
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S. G. Gal (1991)
Publications de l'Institut Mathématique
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M. A. Malik (1969)
Annales Polonici Mathematici
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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...
Leviatan, D., Shevchuk, I. (2002)
Serdica Mathematical Journal
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* Part of this work was done while the second author was on a visit at Tel Aviv University in March 2001 Let f ∈ C[−1, 1] change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials, and by piecewise polynomials, which are nearly coconvex with it, namely, polynomials and piecewise polynomials that preserve the convexity of f except perhaps in some small neighborhoods of the points where f changes...
Saff, E.B., Varga, R.S. (1978)
International Journal of Mathematics and Mathematical Sciences
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