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A note on topological degree for potential operators

โœ Scribed by Paul H Rabinowitz

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
465 KB
Volume
51
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

NOTE: On the Degree ofLpApproximation wi
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โœ J.J. Swetits; B. Wood ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

The degree of approximation in L p -spaces by positive linear operators is estimated in terms of the integral modulus of smoothness. It is shown that the conjectured optimal degree of approximation is not attained in the class of functions having a second derivative belonging to L p .

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## Introduction. In [ll] MARKOV introduced the concept of a free topological group F(X) on a topological space X and showed that, if X is any completely regular HAUSDORFF space, then F ( X ) exists, is HAUSDORFF, and the canonical (1964).