{
  "id": "1703.09048",
  "version": "v1",
  "published": "2017-03-27T13:16:45.000Z",
  "updated": "2017-03-27T13:16:45.000Z",
  "title": "Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients",
  "authors": [
    "A. S. Serdyuk",
    "I. V. Sokolenko"
  ],
  "comment": "9 pages, in Russian",
  "categories": [
    "math.CA"
  ],
  "abstract": "We calculate the least upper bounds of pointwise and uniform approximations for classes of $2\\pi$-periodic functions expressible as convolutions of an arbitrary square summable kernel with functions, which belong to the unit ball of the space $L_2$, by linear polynomial methods constructed on the basis of their Fourier-Lagrange coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-27T13:16:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic functions",
      "fourier-lagrange coefficients",
      "linear methods",
      "convolutions",
      "linear polynomial methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}