{ "id": "2006.11564", "version": "v1", "published": "2020-06-20T12:33:17.000Z", "updated": "2020-06-20T12:33:17.000Z", "title": "Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives", "authors": [ "A. A. Vasil'eva" ], "categories": [ "math.FA" ], "abstract": "In this paper order estimates for the linear widths of some function classes are obtained; these classes are defined by restrictions on the weighted $L_{p_1}$-norm of the r-th derivative and the weighted $L_{p_0}$-norm of zero derivative.", "revisions": [ { "version": "v1", "updated": "2020-06-20T12:33:17.000Z" } ], "analyses": { "keywords": [ "weighted sobolev classes", "linear widths", "zero derivative", "highest order", "conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }