I-Convergence of Korovkin Type Approximation Theorems for Unbounded Functions

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7959

Title:	I-Convergence of Korovkin Type Approximation Theorems for Unbounded Functions
Authors:	蔡志陽;Chih-Yang Tsai
Contributors:	數學研究所
Keywords:	理想收斂;Korovkin 近似型定理;Korovkin type approximation theorem;I-convergence
Date:	2009-06-02
Issue Date:	2009-09-22 11:10:12 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	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.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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