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Titlebook: New Developments in Approximation Theory; 2nd International Do Manfred W. Müller,Martin D. Buhmann,Michael Felten Conference proceedings 19

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A Simple Approach to the Variational Theory for Interpolation on Spheres, the property that they minimise the value of a certain semi-norm, which we construct explicitly. We then go on to investigate forms of the interpolant which are suitable for computation. Our main aim is to derive error bounds for interpolation from scattered data sets, which we do in the final sect
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,Will Ramanujan kill Baker-Gammel-Wills? (A Selective Survey of Padé Approximation),is continued fraction are also Padé approximants. A 1961 conjecture of Baker-Gammel-Wills asserts that if . is analytic in |.| < 1 except for poles, then a subsequence of the convergents to its continued fraction converges uniformly in compact subsets of |.| < 1 omitting poles. We discuss the status
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Approximation Operators of Binomial Type,al calculus” or “finite operator calculus” (see [18], [20]-[22]). Let us consider the basic sequence (b.). associated to a certain delta operator .. By supposing that ..(.) ≥ 0, . ∈ [0, ∞), our purpose is to put in evidence some approximation properties of the linear positive operators (L..). which
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Representation of quasi-interpolants as differential operators and applications,tial forms of these isomorphisms and of their inverses for Bernstein and Szàsz-Mirakyan operators, and their Durrmeyer and Kantorovitch extensions. They allow to define families of intermediate left and right quasiinterpolants of which we study some properties like Voronowskaya type asymptotic error
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