Results 11 to 20 of about 1,374,629 (297)
Lower bounds on the bounded coefficient complexity of bilinear maps [PDF]
Journal of the ACM, 2003 We prove lower bounds of order n log n for both the problem of multiplying polynomials of degree n , and of dividing polynomials with remainder, in the model of bounded coefficient arithmetic circuits over the complex numbers. These lower bounds are optimal up to order
Bürgisser, Peter, Lotz, Martin
openaire +5 more sources
Radius Constants for Functions with the Prescribed Coefficient Bounds [PDF]
Abstract and Applied Analysis, 2014 For an analytic univalent function f(z)=z+∑n=2∞anzn in the unit disk, it is well-known that an≤n for n≥2. But the inequality an≤n does not imply the univalence of f.
Om P. Ahuja +2 more
doaj +2 more sources
Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions
AxiomsThe concept of coefficient estimates on univalent functions is one of the interesting aspects explored recently by many researchers. Motivated by this direction, in this present work, we obtain the upper bounds of initial inverse coefficients and ...
Kuppusami Sakthivel +2 more
doaj +2 more sources
Bounds for Hilbert Coefficients [PDF]
Taiwanese Journal of Mathematics, 2021 Let \((R,\mathfrak{m})\) be a noetherian local ring of Krull dimension \(d\), and \(\mathfrak{a}\) an \(\mathfrak{m}\)-primary ideal of \(R\), i.e. \(\sqrt{\mathfrak{a}}=\mathfrak{m}\). The Hilbert-Samuel function \(H_{\mathfrak{a}}(-):\mathbb{Z}\rightarrow \mathbb{N}_{\geq 0}\) of \(R\) with respect to \(\mathfrak{a}\) is given by \(H_{\mathfrak{a}}(n)
Linh, Cao Huy, Tan, Ton That Quoc
openaire +1 more source
Frame approximation with bounded coefficients [PDF]
Advances in Computational Mathematics, 2021 Due to their flexibility, frames of Hilbert spaces are attractive alternatives to bases in approximation schemes for problems where identifying a basis is not straightforward or even feasible. Computing a best approximation using frames, however, can be challenging since it requires solving an ill-conditioned linear system.
Ben Adcock, Mohsen Seifi
openaire +5 more sources
Ky Fan Inequality and Bounds for Differences of Means II [PDF]
, 2003 We study properties of Ky-Fan typed inequalities and their relations to certain bounds for the differences of ...
Gao, Peng
core +5 more sources
Bounds between contraction coefficients [PDF]
2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2015 In this paper, we delineate how the contraction coefficient of the strong data processing inequality for KL divergence can be used to learn likelihood models. We then present an alternative formulation that forces the input KL divergence to vanish, and achieves a contraction coefficient equivalent to the squared maximal correlation using a linear ...
Makur, Anuran, Zheng, Lizhong
openaire +5 more sources
Bounding the first Hilbert coefficient [PDF]
Proceedings of the American Mathematical Society, 2011 This paper gives new bounds on the first Hilbert coefficient of an ideal of finite colength in a Cohen-Macaulay local ring. The bound given is quadratic in the multiplicity of the ideal. We compare our bound to previously known bounds and give examples to show that at least in some cases it is sharp.
Hanumanthu, Krishna, Huneke, Craig
openaire +3 more sources
Simplified error bounds for turning point expansions [PDF]
, 2021 : Recently, the present authors derived new asymptotic expansions for linear differential equations having a simple turning point. These involve Airy functions and slowly varying coefficient functions, and were simpler than previous approximations, in ...
Dunster, T. M. +5 more
core +1 more source
On Pairs of Coefficients of Bounded Polynomials [PDF]
Proceedings of the American Mathematical Society, 1984 Given a polynomial of degree at most n n , we estimate the sum of the moduli of any two of its coefficients in terms of its
Brickman, L. +2 more
openaire +1 more source