Results 111 to 120 of about 200 (141)
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Note on Wirtinger’s inequality
1997In this note we refine the following theorem due to W. Wirtinger: If f has period 2π and satisfies \( \int_0^{{2\pi }} {f(x)dx = 0} \), then $$ \int_0^{{2\pi }} {{f^2}(x)dx \leqslant {{\int_0^{{2\pi }} {f'} }^2}(x)dx} $$ with strict inequality unless f(x) = a cos(x) + b sin(x), (a, b ∈ ℝ).
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Wirtinger’s Inequality and Sampled-Data Control
2020Extensions of the discontinuous Lyapunov functional constructions proposed in Chap. 2 to sampled-data systems in the presence of input delay \(\eta \) lead to complicated conditions. Moreover, these conditions become conservative if \(\eta \) is not small.
Kun Liu, Emilia Fridman, Yuanqing Xia
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Euler's buckling formula and Wirtinger's inequality
International Journal of Mathematical Education in Science and Technology, 1983This article contains a discussion of Euler's buckling formula for a compressed elastic column. The most commonly used classroom derivations of this formula follow roughly the original arguments of Euler. For this reason the history of this problem is briefly reviewed.
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Discrete generalized Wirtinger's inequalities
Publicationes Mathematicae Debrecen, 2016openaire +1 more source
Inequality in early childhood: risk and protective factors for early child development
Lancet, The, 2011Charles A Nelson +2 more
exaly
On the New Wirtinger Type Inequalities
2019The aim of this paper to establish a generalized and refinement of Wirtinger type inequality.
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Population health in an era of rising income inequality: USA, 1980–2015
Lancet, The, 2017Jacob Bor, Gregory H Cohen, Sandro Galea
exaly