Degree of Approximation of Hölder Continuous Functions
✍ Scribed by R. N. Mohapatra
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 218 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
The paper studies the degree of approximation of functions associated with Hardy᎐Littlewood series in the Holder metric.
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.
By means of the Minkowski function we define a new concept of local Holder Ž . equicontinuity respectively local Holder continuity for families consisting of Ž . set-valued mappings respectively for set-valued mappings between topological linear spaces. The connection between this new concept and t