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JOURNALS // Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika // Archive

Vestnik Chelyabinsk. Gos. Univ., 2013 Issue 16, Pages 88–93 (Mi vchgu19)

Mathematical analysis

Two sided estimation of continuity module of an integral furl type operator

V. P. Tananaa, A. A. Eryginab

a South Ural State University, Chelyabinsk
b Chelyabinsk State University

Abstract: The problem of determining of the phonon spectrum of the crystal from its thermal capacity is described in this article.The integral equalization, which determine of energy spectrum Bose system with its thermal capacity, is reduced to equalization as furl.On the basis of traced investigation, two-sided estimation of module of continuity for the inverse of the integral operation as furl was investigate.

Keywords: regularization, module of continuity, estimate of error, ill-posed problem.



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