Approximation of Complex Functions from Morrey space on Dini smooth Curves


Abstract in English

In this work, we have studied the issue of approximation of functions from Morrey space ; by rational functions on a large group of curves, which called Dini-smooth curves. Moreover, approximation of functions from Morrey Smirnov space defined on a finite domain with a boundary belonging to Dini- smooth curves by polynomials is obtained.

References used

ISRAFILOV. D .M; TOZMAN.N.P. Approximation by polynomials in morreysmirnov classes. East J. Approx. 14 (3), 2008, 255-269
ISRAFILOV. D. M; TOZMAN.N.P. Approximation in Morrey- Smirnov classes. Azerbaijan Journal of Mathematics 1(1), 2001, 99-113
ISRAFILOV. D. M; AHMET. T. Approximation in weighted Smirnov classes. Complex Variables and Elliptic Equations, 2014, 1-14

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