Results 311 to 320 of about 11,568,694 (339)
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Rendiconti del Circolo Matematico di Palermo, 1989
The paper uses an idea of \textit{A. Ronveaux} [Math. Mag. 41, 231-234 (1968; Zbl 0203.393)] who observed that the logarithmic derivative of the solution y(x) of a second order differential equation satisfies a first order Riccati equation and that this leads to bounds on \(y'/y\) (and by integration this also gives bounds for y(x)).
Andrea Laforgia, Maria Luisa Mathis
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The paper uses an idea of \textit{A. Ronveaux} [Math. Mag. 41, 231-234 (1968; Zbl 0203.393)] who observed that the logarithmic derivative of the solution y(x) of a second order differential equation satisfies a first order Riccati equation and that this leads to bounds on \(y'/y\) (and by integration this also gives bounds for y(x)).
Andrea Laforgia, Maria Luisa Mathis
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Functions of bounded variation and polarization
Mathematische Nachrichten, 2009AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ALBERICO A, FERONE, Adele, VOLPICELLI R.
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Bounds for the renewal function
OR Spektrum, 1980Upper and lower bounds are given to the solutionV of a renewal equation by applying a well-known monotonicity argument. The results are applied to the renewal function of an ordinary renewal process.
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Functions of Bounded Variation�and Rearrangements
Archive for Rational Mechanics and Analysis, 2002The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
CIANCHI, ANDREA, N. FUSCO
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Bounds of the Legendre Function
Journal of Mathematics and Physics, 1955Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/113747/1/sapm195534143 ...
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Maximization of Approximately Submodular Functions
Neural Information Processing SystemsWe study the problem of maximizing a function that is approximately submodular under a cardinality constraint. Approximate submodularity implicitly appears in a wide range of applications as in many cases errors in evaluation of a submodular function ...
Thibaut Horel, Yaron Singer
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Locating Discontinuities of a Bounded Function by the Partial Sums of Its Fourier Series
Journal of Scientific Computing, 1999G. Kvernadze, T. Hagstrom, H. Shapiro
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1992
Liouville’s Theorem in complex analysis states that a bounded holo-morphic function on C is constant. A similar result holds for harmonic functions on R n . The simple proof given below is taken from Edward Nelson’s paper [7], which is one of the rare mathematics papers not containing a single mathematical symbol.
Wade Ramey +2 more
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Liouville’s Theorem in complex analysis states that a bounded holo-morphic function on C is constant. A similar result holds for harmonic functions on R n . The simple proof given below is taken from Edward Nelson’s paper [7], which is one of the rare mathematics papers not containing a single mathematical symbol.
Wade Ramey +2 more
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Probability Inequalities for Sums of Bounded Random Variables
, 1994N. Fisher, P. Sen
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