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http://dx.doi.org/10.4134/JKMS.2002.39.5.709

INEQUALITIES FOR THE HILBERT TRANSFORM OF FUNCTIONS WHOSE DERIVATIVES ARE CONVEX  

Dragomir, S.S. (School of Communications and Informatics Victoria University of Technology)
Publication Information
Journal of the Korean Mathematical Society / v.39, no.5, 2002 , pp. 709-729 More about this Journal
Abstract
Using the well known Hermite-Hadamard integral inequality for convex functions, some inequalities for the finite Hilbert transform of functions whose first derivatives are convex are established. Some numerical experiments are performed as well.
Keywords
finite Hilbert transform; Hermite-Hadamard inequality;
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