Approximation of Functions by Singular Integrals
Pure and Applied Mathematics Journal
Volume 3, Issue 6, December 2014, Pages: 113-120
Received: Nov. 2, 2014; Accepted: Nov. 13, 2014; Published: Nov. 17, 2014
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Authors
Rahim M. Rzaev, Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, AZ1141, Azerbaijan; Department of Mathematics and Informatics of Azerbaijan State Pedagogical University, Baku, AZ1000, Azerbaijan
Gulnara Kh. Mammadova, Department of Mathematics and Informatics of Ganja State University, Ganja, Azerbaijan
Mansur Sh. Maharramov, Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, AZ1141, Azerbaijan
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Abstract
In this work questions on approximation of locally summable functions by singular integrals are investigated. Was estimated the rate of approximation in terms of various metric characteristics describing the structural properties of the given function.
Keywords
Approximation, Singular Integrals, Bounded Mean Oscillation, Vanishing Mean Oscillation
To cite this article
Rahim M. Rzaev, Gulnara Kh. Mammadova, Mansur Sh. Maharramov, Approximation of Functions by Singular Integrals, Pure and Applied Mathematics Journal. Vol. 3, No. 6, 2014, pp. 113-120. doi: 10.11648/j.pamj.20140306.11
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