On -best approximation in topological spaces
Tulsi Dass Narang (1985)
Archivum Mathematicum
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Displaying similar documents to “Best approximants for bounded functions and the lattice operations.”
On -best approximation in topological spaces
On the Chebyshev alternation theorem.
Manuel Fernández, María L. Soriano (1995)
Extracta Mathematicae
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Proximinality and co-proximinality in metric linear spaces
T.D. Narang, Sahil Gupta (2015)
Annales UMCS, Mathematica
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As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces
Proximinality and co-proximinality in metric linear spaces
T. W. Narang, Sahil Gupta (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces.
Approximation relative to an ultra function
Tulsi Dass Narang (1986)
Archivum Mathematicum
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Some Remarks on M-convexity and Best Approximation
T. D. Narang (1985)
Publications de l'Institut Mathématique
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Best approximants from non-archimedean Stone-Weierstrass subspaces
Maria Zoraide M. Costa Soares (1985)
Compositio Mathematica
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On the approximation by compositions of fixed multivariate functions with univariate functions
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.