on the maximum value for zygmund class on an interval
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ID: 214806
2002
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Abstract
We prove that if f(z) is a continuous real-valued function on
ℝ with the properties f(0)=f(1)=0 and that ‖f‖ z =infx,t|f(x+t)−2f(x)+f(x−t)/t|is finite for all x,t∈ℝ, which is called Zygmund function on ℝ, then maxx∈[0,1]|f(x)|≤(11/32)‖f‖z. As an
application, we obtain a better estimate for Skedwed Zygmund
bound in Zygmund class.
| Reference Key |
xinzhong2002internationalon
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|---|---|
| Authors | ;Huang Xinzhong;Oh Sang Kwon;Jun Eak Park |
| Journal | structural engineering and mechanics |
| Year | 2002 |
| DOI |
10.1155/S0161171202202306
|
| URL | |
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