On summability and positive linear operators
β Scribed by J.J Swetits
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 126 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0021-9045
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## Abstract We study some properties of strongly and absolutely __p__βsumming bilinear operators. We show that HilbertβSchmidt bilinear mappings are both strongly and absolutely __p__βsumming, for every __p__ β₯ 1. Giving an example of a strongly 1βsumming bilinear mapping which fails to be weakly c
We provide sufficient conditions for a sequence of positive linear approximation operators, L n ( f, x), converging to f (x) from above to imply the convexity of f. We show that, for the convolution operators of Feller type, K n ( f, x), generated by a sequence of iid random variables taking values