A note on Mathieu's inequality.
Acu, Dumitru, Dicu, Petrică (2008)
General Mathematics
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A note on Mathieu's inequality.
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Lyapunov type inequalities for a second order differential equation with a damping term
S. H. Saker (2012)
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For a second order differential equation with a damping term, we establish some new inequalities of Lyapunov type. These inequalities give implicit lower bounds on the distance between zeros of a nontrivial solution and also lower bounds for the spacing between zeros of a solution and/or its derivative. We also obtain a lower bound for the first eigenvalue of a boundary value problem. The main results are proved by applying the Hölder inequality and some generalizations of Opial and...
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Victor Korolev, Sergey Popov (2011)
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Upper estimates are presented for the universal constant in the Katz-Petrov and Osipov inequalities which do not exceed 3.1905.