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APPML
2007
75views more  APPML 2007»
13 years 4 months ago
Inequalities for Stieltjes integrals with convex integrators and applications
Abstract. Inequalities for a Gr¨uss type functional in terms of Stieltjes integrals with convex integrators are given. Applications to the ˇCebyˇsev functional are also provided...
Sever Silvestru Dragomir
MCM
2011
12 years 7 months ago
Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications
Abstract. In this paper we provide sharp bounds for the error in approximating the Riemann-Stieltjes integral R b a f (t) du (t) by the trapezoidal rule f (a) + f (b) 2 [u (b) u (a...
S. S. Dragomir
SIAMDM
2010
105views more  SIAMDM 2010»
12 years 11 months ago
Minimal Inequalities for an Infinite Relaxation of Integer Programs
We show that maximal S-free convex sets are polyhedra when S is the set of integral points in some rational polyhedron of Rn . This result extends a theorem of Lov
Amitabh Basu, Michele Conforti, Gérard Corn...
FSTTCS
2010
Springer
13 years 2 months ago
Recent Progress and Open Problems in Algorithmic Convex Geometry
This article is a survey of developments in algorithmic convex geometry over the past decade. These include algorithms for sampling, optimization, integration, rounding and learni...
Santosh Vempala
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 4 months ago
Grothendieck inequalities for semidefinite programs with rank constraint
Grothendieck inequalities are fundamental inequalities which are frequently used in many areas of mathematics and computer science. They can be interpreted as upper bounds for the ...
Jop Briët, Fernando Mário de Oliveira ...