Investigation of methods of localization of \(q\)-jumps and discontinuities of first kind of noisy function

DOI10.3103/S1066369X19070016zbMath1476.65031OpenAlexW2969600867WikidataQ127332026 ScholiaQ127332026MaRDI QIDQ2286950

A. L. Ageev, T. V. Antonova

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19070016

zbMATH Keywords

ill-posed problemseparation thresholddiscontinuity of first kindregularizing method\(q\)-jumpthreshold of observability

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (1)

On the achievable level of accuracy for the solution of abstract ill-posed problems and nonlinear operator equations in a Banach space

Cites Work

• Don't shed tears over breaks
• Asymptotically minimax estimation of a function with jumps
• Ill-posed problems with a priori information
• On the localization of discontinuities of the first kind for a function of bounded variation
• New methods for the localization of discontinuities of the first kind for functions of bounded variation
• On Minimax Estimation of a Discontinuous Signal
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