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Titlebook: New Trends in Approximation Theory; In Memory of André B Javad Mashreghi,Myrto Manolaki,Paul Gauthier Book 2018 Springer Science+Business M

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Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions,In this review we present the main results jointly obtained by the authors and André Boivin (1955–2014) during the last 20 years. We also recall some important theorems obtained with colleagues and give new applications of the above mentioned results. Several open problems are also formulated.
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Chebyshev Polynomials Associated with a System of Continua,We establish estimates from above for the uniform norm of the Chebyshev polynomials associated with a system of continua . by constructing monic polynomials with small norms on .. The estimates are exact (up to a constant factor) in the case where . has a piecewise quasiconformal boundary and its complement . has no outward pointing cusps.
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Taylor Series, Universality and Potential Theory,ial theory has played in such investigations. It also briefly discusses potential theoretic aspects of universal Laurent series, universal Dirichlet series, and universal polynomial expansions of harmonic functions.
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