{
  "id": "1303.1300",
  "version": "v1",
  "published": "2013-03-06T10:56:40.000Z",
  "updated": "2013-03-06T10:56:40.000Z",
  "title": "Approximation by linear methods of classes of $(ψ,\\barβ)-$differentiable functions",
  "authors": [
    "A. S. Serdyuk",
    "I. V. Sokolenko"
  ],
  "comment": "8 pages, in Russian",
  "categories": [
    "math.CA"
  ],
  "abstract": "We calculate the least upper bounds for approximations in the metric of the space $L_2$ by linear methods of summation of Fourier series on classes of periodic functions $L^\\psi_{\\bar\\beta,1}$ defined by sequences of multipliers $\\psi=\\psi(k)$ and shifts of argument $\\bar\\beta=\\beta_k$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-06T10:56:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A10"
    ],
    "keywords": [
      "linear methods",
      "differentiable functions",
      "approximation",
      "upper bounds",
      "fourier series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.1300S"
    }
  }
}