Results 61 to 70 of about 200 (141)
Integral Inequalities Related to Wirtinger’s Result
General Mathematics, 2021 Abstract In this paper we establish some natural consequences of the Wirtinger integral inequality. Applications related to the trapezoid unweighted and weighted inequalities, of Fejér’s inequality for convex functions and of Grüss’ type inequalities are also provided.
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Stability analysis of discrete‐time systems with a time‐varying delay via improved methods
IET Control Theory &Applications, Volume 18, Issue 7, Page 951-959, April 2024.This paper studiesthe stability problem for discrete‐time systems with a time‐varying delay by developing a new combined summation inequality and improving a transformation lemma. Numerical examples show that, compared to several recently reported results, the obtained stability condition not only produces larger maximal allowable upper bounds but also
Hongjia Sha +4 more
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An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications
Mathematische Nachrichten, Volume 297, Issue 2, Page 454-481, February 2024.Abstract In this paper, we extend notions of complex C−R$\mathbb {C} - \mathbb {R}$‐calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.
Daniel Alpay, Kamal Diki, Mihaela Vajiac
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Discrete analogs of inequalities of Wirtinger
Monatshefte f�r Mathematik, 1955 In the theory of inequalities there are often encountered inequalities which are first proved for finite series and then established for infinite series or integrals. We shall discuss here the finite analogs of several integral inequalities which appear to have been established directly.
Todd, John, Fan, Ky, Taussky, Olga
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An optimal lower bound in fractional spectral geometry for planar sets with topological constraints
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We prove a lower bound on the first eigenvalue of the fractional Dirichlet–Laplacian of order s$s$ on planar open sets, in terms of their inradius and topology. The result is optimal, in many respects. In particular, we recover a classical result proved independently by Croke, Osserman, and Taylor, in the limit as s$s$ goes to 1.
Francesca Bianchi, Lorenzo Brasco
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Buying Ecological Services: Nature\u27s Harmonies, Fragmented Reserves and the Agricultural Extensification Debate [PDF]
, 2008 Growing demand for cropland products has placed intense pressure on the ability of land resources to support nature, straining public budgets to purchase environmental goods.
Hennessy, David +3 more
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On discrete inequalities of Wirtinger's type
Journal of Mathematical Analysis and Applications, 1982 AbstractDiscrete inequalities of Wirtinger's type are considered. Constants in the obtained inequalities are the best ones. In the special case the inequalities (1) and (2) are obtained. They are proved by K. Fan, O. Taussky, and J. Todd: Discrete analogs of inequalities of Wirtinger, Montash. Math. 59 (1955), 73–79.
Milovanović, Gradimir V +1 more
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A sharpening of a discrete analog of Wirtinger's and isoperimetric inequalities [PDF]
, 1992 summary:A sharpening of a discrete case of Wirtinger's inequality is given.
Pech, Pavel
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Reconstruction from non-uniform samples [PDF]
, 2010 Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2010.Cataloged from PDF version of thesis.Includes bibliographical references (p.
Leow, Kwang Siong Jeremy
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Generalization of discrete-time Wirtinger inequalities and a preliminary study of their application to SNR analysis of sinusoids buried in noise /cKaveh Mollaiyan. [PDF]
, 2008 Sinusoidal signals have been always of interest because of their extensive applications in different areas of engineering and science. This research aims at generalizing the discrete Wirtinger inequalities and assessing their applicability in estimating ...
Mollaiyan, Kaveh
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