The existence of an infinitely differentiable concave majorant for the modulus of continuity (Q1866877)
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scientific article; zbMATH DE number 1899992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of an infinitely differentiable concave majorant for the modulus of continuity |
scientific article; zbMATH DE number 1899992 |
Statements
The existence of an infinitely differentiable concave majorant for the modulus of continuity (English)
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23 April 2003
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The author proves that there exists an infinitely differentiable concave majorant for the continuity modulus which, in its turn, is a continuity modulus as well. Besides, the majorant is estimated from above by the initial continuity modulus with the multiplier 2. Thus, it is shown that the estimate of the concave majorant is presented, on which the smoothness condition is not imposed.
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majorant of continuity modulus
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estimate
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0.9482066035270692
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0.9033982753753662
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