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  1. Proceedings of the Steklov Institute of Mathematics
  2. Proceedings of the Steklov Institute of Mathematics : Volume 253
  3. Proceedings of the Steklov Institute of Mathematics : Volume 253, Issue 1, Supplement,July 2006
  4. Approximation of nonsmooth solutions of linear ill-posed problems
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Proceedings of the Steklov Institute of Mathematics : Volume 296
Proceedings of the Steklov Institute of Mathematics : Volume 295
Proceedings of the Steklov Institute of Mathematics : Volume 294
Proceedings of the Steklov Institute of Mathematics : Volume 293
Proceedings of the Steklov Institute of Mathematics : Volume 292
Proceedings of the Steklov Institute of Mathematics : Volume 291
Proceedings of the Steklov Institute of Mathematics : Volume 290
Proceedings of the Steklov Institute of Mathematics : Volume 289
Proceedings of the Steklov Institute of Mathematics : Volume 288
Proceedings of the Steklov Institute of Mathematics : Volume 287
Proceedings of the Steklov Institute of Mathematics : Volume 286
Proceedings of the Steklov Institute of Mathematics : Volume 285
Proceedings of the Steklov Institute of Mathematics : Volume 284
Proceedings of the Steklov Institute of Mathematics : Volume 283
Proceedings of the Steklov Institute of Mathematics : Volume 282
Proceedings of the Steklov Institute of Mathematics : Volume 281
Proceedings of the Steklov Institute of Mathematics : Volume 280
Proceedings of the Steklov Institute of Mathematics : Volume 279
Proceedings of the Steklov Institute of Mathematics : Volume 278
Proceedings of the Steklov Institute of Mathematics : Volume 277
Proceedings of the Steklov Institute of Mathematics : Volume 276
Proceedings of the Steklov Institute of Mathematics : Volume 275
Proceedings of the Steklov Institute of Mathematics : Volume 274
Proceedings of the Steklov Institute of Mathematics : Volume 273
Proceedings of the Steklov Institute of Mathematics : Volume 272
Proceedings of the Steklov Institute of Mathematics : Volume 271
Proceedings of the Steklov Institute of Mathematics : Volume 270
Proceedings of the Steklov Institute of Mathematics : Volume 269
Proceedings of the Steklov Institute of Mathematics : Volume 268
Proceedings of the Steklov Institute of Mathematics : Volume 267
Proceedings of the Steklov Institute of Mathematics : Volume 266
Proceedings of the Steklov Institute of Mathematics : Volume 265
Proceedings of the Steklov Institute of Mathematics : Volume 264
Proceedings of the Steklov Institute of Mathematics : Volume 263
Proceedings of the Steklov Institute of Mathematics : Volume 262
Proceedings of the Steklov Institute of Mathematics : Volume 261
Proceedings of the Steklov Institute of Mathematics : Volume 260
Proceedings of the Steklov Institute of Mathematics : Volume 259
Proceedings of the Steklov Institute of Mathematics : Volume 258
Proceedings of the Steklov Institute of Mathematics : Volume 257
Proceedings of the Steklov Institute of Mathematics : Volume 256
Proceedings of the Steklov Institute of Mathematics : Volume 255
Proceedings of the Steklov Institute of Mathematics : Volume 254
Proceedings of the Steklov Institute of Mathematics : Volume 253
Proceedings of the Steklov Institute of Mathematics : Volume 253, Issue 1, Supplement,July 2006
Yurii Sergeevich OSIPOV (on the occasion of his 70th birthday)
The Pontryagin Maximum Principle 50 years later
Statistics and classification of topologies of periodic functions and trigonometric polynomials
On the fall of a heavy rigid body in an ideal fluid
Nonsequential approximate solutions in abstract problems of attainability
Optimization of the motion in a resistant medium of a body with a movable internal mass
Direct-dual Fejér methods for problems of quadratic programming
On the theory of three-person differential games
Asymptotics of the solution to a differential equation with a small parameter in the case of two limit solutions
Buffer phenomenon in systems close to two-dimensional Hamiltonian ones
One problem on stable tracking of motion
Dynamical state reconstruction and guaranteeing control for a system of parabolic equations
Comparison principle for equations of the Hamilton-Jacobi type in control theory
Adjoint equations and their applications
Dynamically stable cooperative solutions in randomly furcating differential games
A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions
Methods for solving unstable equilibrium programming problems with coupled variables
Approximation of nonsmooth solutions of linear ill-posed problems
Proceedings of the Steklov Institute of Mathematics : Volume 253, Issue 1, July 2006
Proceedings of the Steklov Institute of Mathematics : Volume 252

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Approximation of nonsmooth solutions of linear ill-posed problems

Content Provider Springer Nature Link
Author Vasin, V. V.
Copyright Year 2006
Abstract In the multidimensional case, for the Tikhonov regularization, two new families of stabilizers containing the norms of the Lipschitz spaces and the norms of the Sobolev spaces with fractional derivatives are suggested. Theorems of convergence of Tikhonov regularized approximate solutions and their discrete approximations are proved. Detailed step-by-step investigation of the solving algorithm is performed by the example of an integral Fredholm equation of the first kind.
Starting Page S247
Ending Page S262
File Format PDF
ISSN 00815438
Journal Proceedings of the Steklov Institute of Mathematics
Volume Number 253
Issue Number 1
e-ISSN 15318605
Language English
Publisher Nauka/Interperiodica
Publisher Date 2006-01-01
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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