Results 11 to 20 of about 798,458 (265)
On an invariant related to a linear inequality [PDF]
Archiv der Mathematik, 2002 Let A be an m-dimensional vector with positive real entries. Let A_{i,j} be the vector obtained from A on deleting the entries A_i and A_j. We investigate some invariant and near invariants related to the solutions E (m-2 dimensional vectors with entries either +1 or -1) of the linear inequality |A_i-A_j| < < A_i+A_j, where denotes the usual ...
Besser, A., Moree, P.
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Linear interval inequalities [PDF]
Linear and Multilinear Algebra, 1994 We prove that a system of linear inequalities with interval-valued data is weakly solvable (each system obtained by fixing coefficeints in the intervals prescribed has a solution) if and only if it is strongly solvable (all such systems have a solution in common) and desribe an algorithm for checking strong solvability.
J. Rohn, Jana Krešlová
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Linear inequalities in primes [PDF]
Journal d'Analyse Mathématique, 2021 In this paper we prove an asymptotic formula for the number of solutions in prime numbers to systems of simultaneous linear inequalities with algebraic coefficients. For $m$ simultaneous inequalities we require at least $m+2$ variables, improving upon existing methods, which generically require at least $2m+1$ variables. Our result also generalises the
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Linear generalizations of Gronwall’s inequality [PDF]
Proceedings of the American Mathematical Society, 1976 A variety of linear generalizations of Gronwall's inequality, including recent multivariable results of D. R. Snow and E. C. Young, are subsumed and extended by simple arguments involving the resolvent kernel of the integral operator.
Jagdish Chandra, Paul Davis
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A sharp nonlinear Hausdorff-Young inequality for small potentials [PDF]
, 2018 The nonlinear Hausdorff-Young inequality follows from the work of Christ and Kiselev. Later Muscalu, Tao, and Thiele asked if the constants can be chosen independently of the exponent.
Kovač, Vjekoslav +2 more
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Stability of the Brascamp-Lieb constant and applications [PDF]
, 2018 We prove that the best constant in the general Brascamp-Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourier restriction, Kakeya-type, and nonlinear variants of the
Bennett, Jonathan +3 more
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The asymptotically sharp Korn interpolation and second inequalities for shells [PDF]
, 2018 We consider shells in three dimensional Euclidean space which have bounded principal curvatures. We prove Korn's interpolation (or the so called first and a half\footnote{The inequality first introduced in [6]}) and second inequalities on that kind of ...
Harutyunyan, Davit
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An inequality for linear transformations [PDF]
Proceedings of the American Mathematical Society, 1967 1. Statements of results. In this paper the following elementary inequality is proved and exploited. THEOREM 1. If L is a positive-definite hermitian transformation on the finite dimensional unitary space V and p > 1, then for arbitrary vectors u and v (I) f|Uff2 + (L-PV, V) > ((I + L)-Pu + v, U + v). From (1) we can conclude THEOREM 2.
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On systems of linear inequalities [PDF]
Bulletin de la Société mathématique de France, 2003 Summary: We show in detail that the category of general Roth systems or the category of semi-stable systems of linear inequalities of slope zero is a neutral Tannakian category. On the way, we present a new proof of the semi-stability of the tensor product of semi-stable systems.
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Opportunistic Localization Scheme Based on Linear Matrix Inequality [PDF]
, 2009 Enabling self-localization of mobile nodes is an important problem that has been widely studied in the literature. The general conclusions is that an accurate localization requires either sophisticated hardware (GPS, UWB, ultrasounds transceiver) or a ...
Kang, GuoDong +3 more
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