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NOTE: On the Degree ofLpApproximation with Positive Linear Operators

✍ Scribed by J.J. Swetits; B. Wood

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
173 KB
Volume
87
Category
Article
ISSN
0021-9045

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✦ Synopsis

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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