Results 11 to 20 of about 1,141,676 (232)
AbstractIn this article we find upper bounds on the Rao function for space curves in terms of the degree, genus and the minimal degree s of a surface which contains the curve. These bounds are shown to be sharp for s≤4. This paper is dedicated to David Buchsbaum on the occasion of his 70th birthday.
Scott Nollet, Rosa Maria Miró Roig
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Complements of nearly perfect graphs
A class of graphs closed under taking induced subgraphs is $\chi$-bounded if there exists a function $f$ such that for all graphs $G$ in the class, $\chi(G) \leq f(\omega(G))$. We consider the following question initially studied in [A.
Gyarfas, Andras+6 more
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On Almost Bounded Functions [PDF]
New results are presented with regard to the “almost bounded functions” introduced by Goodman [2], including a theorem which contains a proof of Goodman’s conjecture for a particular case.
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Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation [PDF]
In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided.
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On Functions of Bounded Semivariation
39 pages, to be submitted to Real Analysis ...
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A Gaussian Radon Transform for Banach Spaces
We develop a Radon transform on Banach spaces using Gaussian measure and prove that if a bounded continuous function on a separable Banach space has zero Gaussian integral over all hyperplanes outside a closed bounded convex set in the Hilbert space ...
Holmes, Irina, Sengupta, Ambar N.
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On the Bounds of Function Approximations [PDF]
Accepted as a full paper at ICANN 2019.
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Bounded nonvanishing functions and bateman functions [PDF]
We consider the family B-tilde of bounded nonvanishing analytic functions f(z) = a_0 + a_1 z + a_2 z^2 + ... in the unit disk. The coefficient problem had been extensively investigated, and it is known that |a_n| <= 2/e for n=1,2,3, and 4. That this inequality may hold for n in N, is know as the Kry conjecture.
Dieter Schmersau, Wolfram Koepf
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We improve the upper bound of the following inequalities for the gamma function $ $ due to H. Alzer and the author. \begin{equation*} \exp\left(-\frac{1}{2} (x+1/3)\right)
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Anzellotti's pairing theory and the Gauss--Green theorem
In this paper we obtain a very general Gauss-Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting Anzellotti's pairing theory and by characterizing the measure pairing $(\boldsymbol{A}, Du)$
Crasta, Graziano, De Cicco, Virginia
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