• Title of article

    Strongly -summable sequence spaces defined by an Orlicz function

  • Author/Authors

    Dutta، نويسنده , , Hemen and Bilgin، نويسنده , , Tunay، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    6
  • From page
    1057
  • To page
    1062
  • Abstract
    We introduce the strongly ( V λ , A , Δ ( v m ) n , p ) -summable sequences and give the relation between the spaces of strongly ( V λ , A , Δ ( v m ) n , p ) -summable sequences and strongly ( V λ , A , Δ ( v m ) n , p ) -summable sequences with respect to an Orlicz function when A = ( a i k ) is an infinite matrix of complex numbers, Δ ( v m ) n is a generalized difference operator and p = ( p i ) is a sequence of positive real numbers. Also we give natural relationship between strongly ( V λ , A , Δ ( v m ) n , p ) -convergence with respect to an Orlicz function and strongly S λ ( A , Δ ( v m ) n ) -statistical convergence.
  • Keywords
    difference operator , De la Vallee-Poussin mean , Orlicz function , Statistical convergence
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2011
  • Journal title
    Applied Mathematics Letters
  • Record number

    1527900