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Robust High-Dimensional Regression with Coefficient Thresholding and its Application to Imaging Data Analysis. [PDF]
Liu B, Zhang Q, Xue L, Song PX, Kang J.
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Integral inequalities of the Wirtinger type
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SIAM Journal on Mathematical Analysis, 1978
General forms of Wirtinger-type inequalities are proved in both one and n dimensions. Since singular endpoints and unbounded intervals are allowed, a large class of new one-dimensional results are generated as well as previously known results. In the (usual) case that the admissible functions are identically zero on the boundary $\partial G$ of a ...
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General forms of Wirtinger-type inequalities are proved in both one and n dimensions. Since singular endpoints and unbounded intervals are allowed, a large class of new one-dimensional results are generated as well as previously known results. In the (usual) case that the admissible functions are identically zero on the boundary $\partial G$ of a ...
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Higher order Wirtinger inequalities
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980SynopsisWirtinger-type inequalities of order n are inequalities between quadratic forms involving derivatives of order k ≦ n of admissible functions in an interval (a, b). Several methods for establishing these inequalities are investigated, leading to improvements of classical results as well as systematic generation of new ones.
Kreith, Kurt, Swanson, Charles A.
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An extended Wirtinger inequality
Journal of Physics A: Mathematical and General, 2001Summary: Recently [\textit{A. M. Sonnet, E. G. Virga} and \textit{G. Durand}, Phys. Rev. E 62, 3694--3701 (2000), per. bibl.], an extended Wirtinger inequality has been proved extremely useful in studying the incipient relaxation dynamics of a nematic liquid crystal cell, in the presence of a weak anchoring potential.
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Some Wirtinger-Like Inequalities
SIAM Journal on Mathematical Analysis, 1979This paper extends a variational inequality [G. Hardy, J. Littlewood and G. Polya, Inequalities, Cambridge University Press, Cambridge, 1967; p.182] for real valued functions and their derivatives to those functions on an interval with zero boundary conditions or with zero integral.
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On Beesack–Wirtinger Inequality
Results in Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Jorke's Theorem and Wirtinger's Inequality
Mathematical Notes, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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