𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence of Pólya Algorithm and Continuous Metric Selections in Space of Continuous Functions

✍ Scribed by W. Li


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
601 KB
Volume
80
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis


We show that one can construct a continuous selection for the metric projection in the space of continuous functions by the Pólya algorithm. Moreover, the existence of a continuous selection for the metric projection is equivalent to the stable convergence of the Pólya algorithm. 1995 Academic Press. Inc.


📜 SIMILAR VOLUMES


t-Osculating Operators in a Space of Con
✍ Alessandro Trombetta 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 76 KB

We introduce a linearization property for parameter dependent operators from a space of continuous functions into itself. This notion leads to a new implicit function theorem. As an application, we study the stability of the solutions of the Ž .

Uniformly continuous superposition opera
✍ Janusz Matkowski 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 85 KB

## Abstract Let __I__, __J__ ⊂ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ × __J__ → ℝ, __H__ (__φ__)(__x__) ≔ __h__ (__x__, __φ__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,

On the Rate of Convergence of Singular I
✍ B. N. Mohapatra; R. S. Rodriguez 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 236 KB

Math. Nechr. 149 (1990) and (1.7) respectively, where the parameter 5 tends to 0. n W Z , 5 ) = ( 6 Z -l J I(% + 1) exp (-t2/5) d t , -JI Throughout the paper, we shall write (1.8) @A = I(% + 1) -2f(Z)'+ f ( Z -0 . 2.