跳到主要內容

簡易檢索 / 詳目顯示

研究生: 林裕欽
Yu-Cin Lin
論文名稱:
A-Statistical Convergence of Korovkin Type Approximation
指導教授: 蕭勝彥
高華隆
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 數學系
Department of Mathematics
畢業學年度: 97
語文別: 英文
論文頁數: 24
中文關鍵詞: 柯羅金近似型A-統計收斂
外文關鍵詞: Korovkin Type Approximation, A-Statistical Convergence
相關次數: 點閱:16下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 在這篇論文中,我們介紹數列A-Statistical Convergence的概念,並且使用A-Statistical Convergence來探討正線性算子{L_n } 從L^{infty}[a,b] 到L^{infty}[a,b] 和算子作用在 L^1[a,b] 的柯羅金近似型.


    In this thesis we introduce the concept of A-statistical convergence of sequence and use A-statistical convergence to study Korovkin Type Approximation of positive linear operators {L_n } from L^{infty} [a,b] into L^{infty} [a,b] and operators acting on L^1 [a,b].

    1.Introduce....................1 2.Basic Definitions and Results....................3 3.Pointwise Approximation Theorems of Type A-Statistical Convergence....................8 4.Approximation Theorems of Type A-Statistical Convergence....................16 5.Example....................21 Reference....................24

    [1] O.Duman, C.Orhan,Statistical approximation by positive linear operators,Studia Math.161(2004),187-197.
    [2] E. Erkus and O. Duman,A Korovkin type approximation theorem in statistical sense,Studia Sci.Math.Hungar.43(2006),285-294.
    [3] J.A.Fridy,H.I.Miller and C.Orhan,Statistical rates of convergence,Acta Sci.Math.(Szeged) 69(2003),147-157.
    [4] P.P.Korovkin:Linear Operators and Theory of Approximation,Hindustan Publ.Comp.,Delhi,1960.
    [5] H.I.Miller and Orhan,Statistical (T) rates of convergence,Glasnik Matematicki Vol.39(2004),101-110.
    [6] H.I.Miller,A measure theoretical subsequence characterization of statistical convergence,Trans.Amer. Math.Soc.347(1995),1811-1819.
    [7] J.E.Marsden and M.J.Hoffman:Elementary Classical Analysis,W.H.Freeman and Company New York,1993.
    [8] W.R.Wade:An Introduction to Analysis,Prentice-Hall, Inc,2000.

    QR CODE
    :::