Equivalence relations on approximation theory
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
View: 48
This Paper With 10 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJNAA-14-4_023
تاریخ نمایه سازی: 5 شهریور 1402
Abstract:
In this paper, we define relations between the best approximation and the worst approximation. We show that these relations are equivalence relations if the sets are Chebyshev or uniquely remotal. We obtain cosets sets of best approximation and cosets sets of worst approximation. We obtain some results on these sets, for example, compactness and weakly compactness. Finally, we consider the semi-inner products (Lumer-Giles) and semi-inner(usual).
Keywords:
Chebyshev sets , Uniquely remotal sets , Cosets best aprrpximation sets , Cosets worst approximation sets , Equivalence relations
Authors
Hamid Mazaheri Tehrani
Faculty of Mathematics, Yazd University, Yazd, Iran
N. Kh. Hamidi
Faculty of Mathematics, Yazd University, Yazd, Iran
M .J. Salehi
Faculty of Mathematics, Yazd University, Yazd, Iran