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Gal S.G. Overconvergence in Complex Approximation

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Gal S.G. Overconvergence in Complex Approximation
Springer Science+Business Media, New York, 2013. — 206 p. — ISBN10: 1461470978
It is a well-known fact that the concept of overconvergence in approximation theory may have several meanings. The most common, developed for the first time by Ostrovski and Walsh, is that given a sequence of functions approximating a given (analytic) function in a set (region), the convergence may hold not merely in that set, but in a larger one containing the first set in its interior.
Overconvergence in C of Some Bernstein-Type Operators
Overconvergence and Convergence in C of Some Integral Convolutions
Overconvergence in C of the Orthogonal Expansions
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