Inverse approximation theorem by biharmonic functions in a circle
1 Faculty of Transport and Mechanical Engineering Department of Physics and Higher Mathematics, Lutsk National Technical University, Lutsk, 43000, Ukraine
Keywords:
Inverse approximation theorem
Abstract
A class of functions biharmonic in a circle is considered. For them, a general inverse approximation theorem is obtained, and estimates of the smoothness modulus of derivatives of the order of the limit value are found. The study is carried out in terms of __ -modules of smoothness.
References
1. Gorbaychuk V.I. Inverse approximation theorems by biharmonic functions// Mathematical physics. 1976. Issue 19. P. 73–78.
2. Timan A.F. Theory of approximations of functions of a real variable. M.: Fizmatgiz, 1960. 624 p.
3. Dzyadyk V.K. Introduction to the theory of uniform approximation of functions by polynomials. M.: Nauka, 1977. 508 p.
Cite
- ACS Style
- Tymoshchuk, V. Inverse approximation theorem by biharmonic functions in a circle. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Tymoshchuk V. Inverse approximation theorem by biharmonic functions in a circle. Bukovinian Mathematical Journal. 2016; 2(1).
- Chicago/Turabian Style
- Viktor Tymoshchuk. 2016. "Inverse approximation theorem by biharmonic functions in a circle". Bukovinian Mathematical Journal. 2 no. 1.
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