{
  "id": "1005.5555",
  "version": "v2",
  "published": "2010-05-30T18:12:26.000Z",
  "updated": "2011-04-14T17:11:03.000Z",
  "title": "On the best approximation of certain classes of periodic functions by trigonometric polynomials",
  "authors": [
    "A. S. Serdyuk",
    "Ie. Yu. Ovsii"
  ],
  "journal": "Azerbaijan Journal of Mathematics, Vol. 1, No. 1, 2011, 129-144",
  "categories": [
    "math.CA"
  ],
  "abstract": "We obtain the estimates for the best approximation in the uniform metric of the classes of $2\\pi $-periodic functions whose $(\\psi ,\\beta)$-derivatives have a given majorant $\\omega$ of the modulus of continuity. It is shown that the estimates obtained here are asymptotically exact under some natural conditions on the parameters $\\psi ,$ $\\omega $ and $\\beta $ defining the classes",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-14T17:11:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A10"
    ],
    "keywords": [
      "periodic functions",
      "best approximation",
      "trigonometric polynomials",
      "natural conditions",
      "uniform metric"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.5555S"
    }
  }
}