Results 81 to 90 of about 13,126,162 (297)
Bounds for an integral involving the modified Lommel function of the first kind [PDF]
arXiv, 2021 Simple upper and lower bounds are established for the integral $\int_0^x\mathrm{e}^{-\beta u}u^\nu t_{\mu,\nu}(u)\,\mathrm{d}u$, where $x>0$, $0<\beta<1$, $\mu+\nu>-2$, $\mu-\nu\geq-3$, and $t_{\mu,\nu}(x)$ is the modified Lommel function of the first kind.
arxiv
On rational bounds for the gamma function [PDF]
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality [Formula: see text] holds for all [Formula: see text], we present the best possible constants λ and μ such that [Formula: see text] for all [Formula: see text], and we find the value of [Formula: see text] in the interval [Formula: see text] such that [Formula: see text] for [Formula: see text] and ...
Wen Zhang +3 more
openaire +4 more sources
Demonstratio Mathematica, 2014 In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
doaj +1 more source
Extension of functions with bounded finite differences [PDF]
arXiv, 2008 We prove that functions defined on a lattice in a finite dimensional torus with bounded finite differences can be smoothly extended to the whole torus, and relate the bounds on the extension's derivatives with bounds on the original function's finite differences.
arxiv
Unified bounds for the independence number of graphs [PDF]
Can. J. Math.-J. Can. Math. 77 (2025) 97-117The Hoffman ratio bound, Lov\'{a}sz theta function and Schrijver theta function are classical upper bounds for the independence number of graphs, which are useful in graph theory, extremal combinatorics and information theory. By using generalized inverses and eigenvalues of graph matrices, we give bounds for independence sets and the independence ...
arxiv +1 more source
New bounds for nonconvex quadratically constrained quadratic programming [PDF]
arXiv, 2019 In this paper, we study some bounds for nonconvex quadratically constrained quadratic programs. We propose two types of bounds for quadratically constrained quadratic programs, quadratic and cubic bounds. For quadratic bounds, we use affine functions as Lagrange multipliers. We demonstrate that most semi-definite relaxations can be obtained as the dual
arxiv
Uniform Convergence of Double Fourier-Legendre series of Functions of Bounded Generalized Variation [PDF]
arXiv, 2012 The Uniform convergence of double Fourier-Legendre series of function of bounded Harmonic variation and bounded partial $\Lambda $-variation are investigated.
arxiv
Bounds for functions of multivariate risks
Journal of Multivariate Analysis, 2006 Li et al. [Distributions with Fixed Marginals and Related Topics, vol. 28, Institute of Mathematics and Statistics, Hayward, CA, 1996, pp. 198-212] provide bounds on the distribution and on the tail for functions of dependent random vectors having fixed multivariate marginals.
P. Embrechts, G. Puccetti
openaire +3 more sources
Bounded Solutions of Parabolic Equations in Continuous Function Spaces
, 2006 This paper is concerned with the existence of bounded mild solutions to equations of the form u′(t) = Au(t) + f(t), where A generates a holomorphic semigroup that is not necessarily strongly continuous, and f is a bounded function.
James H. Liu +3 more
semanticscholar +1 more source
Computational Rationality: Linking Mechanism and Behavior Through Bounded Utility Maximization
Topics in Cognitive Science, 2014 We propose a framework for including information-processing bounds in rational analyses. It is an application of bounded optimality (Russell & Subramanian, 1995) to the challenges of developing theories of mechanism and behavior.
Richard L. Lewis +2 more
semanticscholar +1 more source