Approximation of Complex Functions on some subclass of Carlson Curves

published by Tishreen University in 2014 in Mathematics and research's language is العربية Download

Abstract in English

We study in this research approximation of complex functions from Orlicz space on a subclass of Carlson curves, which called Dini smooth curves to rational functions by using polynomials related with Dzjadyk sums which obtained from Faber polynomials. We depend on some concepts of complex analysis such as formulas of Sokhotski to reach the desired goal

References used

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GOLUZIN.G.M. Geometric Theory of Functions of a complex variables. vol 26, translation of Mathematical Monographs, U.S.A, 1968, 676

ISRAFILOV.D.M; OKTAY. B; AKGUN.R. Approximation in Smirnov–Orlicz classes. vol 40 (60), Glasnik mathematicki, Croatia, 2005, 87-102

KARLOVICH.A.Y. Algebras of singular integral operators with piecewise continuous coefficients on reflexive Orlicz spaces. Math Nachr, 1996, 187-222

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