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Approximation by Unimodular Functions
Canadian Journal of Mathematics, 1971The theorems in this paper are all concerned with either pointwise or uniform approximation by functions which have unit modulus or by convex combinations of such functions. The results are related to, and are outgrowths of, the theorems in [4; 5; 10].In § 1, we show that a function bounded by 1, which is analytic in the open unit disc Δ and continuous
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Bessel Function Approximations
American Journal of Mathematics, 1950Phillips, R. S., Malin, Henry
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APPROXIMATION OF BELIEF FUNCTIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2003This paper addresses the approximation of belief functions by probability functions where the approximation is based on minimizing the Euclidean distance. First of all, we simplify this optimization problem so it becomes equivalent to a standard problem in linear algebra.
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APPROXIMATION OF SUBHARMONIC FUNCTIONS
Mathematics of the USSR-Sbornik, 1985If the function f(z) is holomorphic in \(\Omega \subset R_ 2\), the function ln \(| f(z)|\) is subharmonic in \(\Omega\). In the paper the possibilities of approximations of subharmonic functions defined on an arbitrary domain \(\Omega \subset R_ 2\) are studied. For the case \(\Omega =R_ 2\) the problem is also solved. The approximation is realized by
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Universal approximation bounds for superpositions of a sigmoidal function
IEEE Transactions on Information Theory, 1993A. Barron
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