Properties of the modulus of continuity for monotonous convex functions and applications
For a monotone convex function f∈C[a,b] we prove that the modulus of continuity w(f;h) is concave on [a,b] as function of h. Applications to approximation theory are obtained.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129500055X |
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| Summary: | For a monotone convex function f∈C[a,b] we prove that the modulus of
continuity w(f;h) is concave on [a,b] as function of h. Applications to approximation theory are
obtained. |
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| ISSN: | 0161-1712 1687-0425 |