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- Title
On the validity for frames of a result concerning orthogonal systems.
- Authors
Kashin, B. S.; Kulikova, T. Yu.
- Abstract
In this paper, we establish lower bounds for canonicaln-term approximations with respect to frames of general form of a family of functions which is a natural one from the point of view applications. The results proved in [1] for orthogonal bases in the spacesL2(0, 1) are generalized. The expediency of such a step is connected mainly with the systematic use of frames and nonorthogonal bases in applied problems of image compression. Let us introduce the necessary definitions.
- Subjects
ORTHOGONAL functions; ORTHOGONAL curves; ORTHOGONALIZATION; FRAMES (Computer science); DATA structures; IMAGE compression
- Publication
Mathematical Notes, 2005, Vol 77, Issue 1/2, p280
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0027-x