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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| Format: | Article |
| Language: | English |
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Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129500055X |