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| 研究生： |
蔡志陽 Chih-Yang Tsai |
|---|---|
| 論文名稱： |
I-Convergence of Korovkin Type Approximation Theorems for Unbounded Functions |
| 指導教授： |
蕭勝彥
Sen-Yen Shaw 高華隆 Hwa-Long Gau |
| 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： | 36 |
| 中文關鍵詞： | 理想收斂 、Korovkin 近似型定理 |
| 外文關鍵詞： | Korovkin type approximation theorem, I-convergence |
| 相關次數： | 點閱：13 下載：0 |
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本篇論文將先介紹較統計收斂與A-統計收斂更為一般化的理想收斂，研究主軸為正線性算子，並以理想收斂來討論無界連續函數空間上的Korovkin近似定理。更進一步將所討論的空間擴展至高維度算子值或實數值函數空間。
The purpose of this thesis is to study a Korovkin type approximation of unbounded functions by means of ideal convergence. The concept of ideal convergence is the generalizations of statistical convergence and A-statistical convergence. We will discuss the approximations of unbounded, operator-valued and real-valued functions with noncompact supports in R^m.
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