Results 101 to 110 of about 200 (141)

Wirtinger’s Inequality

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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Higher order Wirtinger inequalities

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980
SynopsisWirtinger-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, 2001
Summary: 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, 1979
This 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, 2017
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Jorke's Theorem and Wirtinger's Inequality

Mathematical Notes, 2001
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A kind of sharp Wirtinger inequalities

International Journal of Wavelets, Multiresolution and Information Processing, 2023
This study gives a kind of sharp Wirtinger inequalities (Pizone inequalities) [Formula: see text] where [Formula: see text] with at least [Formula: see text] zeros (counting multiplicity) in [Formula: see text]. First, based on the Hermite (Lagrange) interpolation, we express [Formula: see text] as a Lagrange type (integral type) remainder. Second, we
Guiqiao Xu, Yongping Liu, Dandan Guo
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Wirtinger's Inequalities on Time Scales

Canadian Mathematical Bulletin, 2008
AbstractThis paper is devoted to the study of Wirtinger-type inequalities for the Lebesgue Δ-integral on an arbitrary time scale 𝕋. We prove a general inequality for a class of absolutely continuous functions on closed subintervals of an adequate subset of 𝕋.
Ravi P. Agarwal, Victoria Otero-Espinar, Kanishka Perera, Dolores R. Vivero   +3 more
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GENERALIZATIONS OF THE WIRTINGER–NORTHCOTT INEQUALITY

Bulletin of the London Mathematical Society, 2003
For \(2\pi\)-periodic functions satisfying \(\int^{2\pi}_0 f(x) dx= 0\), Wirtinger and Northcott showed that \[ \|f\|_{L_p[0,2\pi]}\leq C_\gamma(p)\|f^{(r)}\|_{L_p[0,2\pi]}. \] In this paper the author obtains that this inequality is valid for other operators, defined on various domains and spaces.
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On Wirtinger-type integral inequalities

Nonlinear functional analysis and applications, 2008
In this paper some new Wirtinger-type integral inequalities involving many functions of many variables are established. Such inequalities generalize and improve some existing results of Agarwal and Sheng, and Cheung and Pečarić. The techniques used are algoritmic, and can be used to obtain other types of integral inequalities.
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