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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

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Source Normalized Impact per Paper (SNIP) 2015: 1.106
Impact per Publication (IPP) 2015: 0.712

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1569-3945
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Linear ill-posed problems on sets of convex functions on two-dimensional sets

V. Titarenko / A. Yagola

Department of Mathematics, Faculty of Physics, Moscow State University, Vorobyevy Gory, 119992, Moscow, Russia. E-mails: ,

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 7, Pages 735–750, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939406779801988,

Publication History

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Linear ill-posed problems written as the operator equation A = on sets of functions z convex on multi-dimensional sets Ω are considered in the paper. A regularizing algorithm zη = R(A h, uδ, η), where ||A hA|| ≤ h, ||uδ|| ≤ δ, η = (h,δ), obtained in the previous papers for line segments is generalized such that the approximate solution zη tends to the exact one uniformly on some subsets of the domain Ω. The algorithms to estimate an error of finite dimensional approximation and to find a lower z l and an upper z u functions that bound all approximation solutions are provided.

Citing Articles

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[1]
Yury Korolev and Anatoly Yagola
Inverse Problems, 2013, Volume 29, Number 9, Page 095012
[2]
Weifeng Xia and Yuming Chu
Acta Mathematica Scientia, 2011, Volume 31, Number 3, Page 1103
[3]
V. Titarenko and A. Yagola
Journal of Inverse and Ill-posed Problems, 2008, Volume 16, Number 6

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