Approximation relative to an ultra function
Tulsi Dass Narang (1986)
Archivum Mathematicum
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Tulsi Dass Narang (1986)
Archivum Mathematicum
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Damien Roy (2008)
Acta Arithmetica
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Stéphane Lozier, Damien Roy (2012)
Acta Arithmetica
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Carlos Benítez, Manuel Fernández, María L. Soriano (1996)
Extracta Mathematicae
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Luo, Xianfa, Wu, Delin, He, Jinsu (2009)
International Journal of Mathematics and Mathematical Sciences
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George Szekeres, Vera T.-Sós (1988)
Acta Arithmetica
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Fernando Cobos (1988)
Colloquium Mathematicae
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Vugar E. Ismailov (2007)
Studia Mathematica
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The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.
N. Hadjisavvas, Nassopoulos B. (1988)
Mathematische Annalen
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Tiziana Cardinali (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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If f is a continuous seminorm, we prove two f-best approximation theorems for functions Φ not necessarily continuous as a consequence of our version of Glebov's fixed point theorem. Moreover, we obtain another fixed point theorem that improves a recent result of [4]. In the last section, we study continuity-type properties of set valued parametric projections and our results improve recent theorems due to Mabizela [11].
J. Prasad (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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