Article history: Received 23 April 2013 Accepted after revision 21 May 2013 Available online 30 May 2013 Presented by the Editorial Board Applying the Faber polynomial coefficient expansions to a class of meromorphic biunivalent functions, we obtain the general coefficient estimates for such functions and also examine their early coefficient bounds. A function univalent in the open unit disk is...

2. Query Uncertainty 4 2.1. Derivation of Special Case: Query Dependent on a Subset . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2. Derivation of Special Case: Independent Representation Elements . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3. Linear Query with Independent Elements Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4. Empirical Ent...

We provide new bounds on the average undershoot in an infinite horizon (s, S) inventory system with i.i.d demands with known moments up to order three. The two moment bound improves on Lorden’s bound (Ann. Math. Stat. 1970) for small values of S – s and low values of the coefficient of variation. The three moment bound provides further improvement for negatively skewed demands. The bounds are s...

We prove lower bounds on the largest and second largest eigenvalue of the adjacency matrix of connected bipartite graphs and give necessary and sufficient conditions for equality. We give several examples of classes of graphs that are optimal with respect to the bounds. We prove that BIBD-graphs are characterized by their eigenvalues. Finally we present a new bound on the expansion coefficient ...

In this paper, we introduce a family of harmonic parabolic starlike functions of complex order in the unit disc and coefficient bounds, distortion bounds, extreme points, convolution conditions and convex combination are determined for functions in this family. Further results on integral transforms are discussed. Consequently, many of our results are either extensions or new approaches to thos...

This paper gives lower bounds on the spectral radius of vertex-transitive graphs, based on the number of “prime cycles” at a vertex. The bounds are obtained by constructing circuits in the graph that resemble “cactus trees”, and enumerating them. Counting these circuits gives a coefficient-wise underestimation of the Green function of the graph, and hence an underestimation of its spectral radi...

We provide the n-channel extension of the unified workload capacity space bounds for standard parallel processing models with minimum-time, maximum-time, and single-target self-terminating stopping rules. This extension enables powerful generalizations of this approach to multiple stopping rules and any number of channels of interest. Mapping the bounds onto the unified capacity space enables a...

This paper deals with the homogenization of the Hall effect in three-dimensional composites. We prove that the homogenized Hall coefficients are bounded from above by means of prescribed bounds on the local conductivity and the local Hall coefficient. Then, three microstructures of different nature are presented in order to show that arbitrarily large effective Hall coefficients may be obtained...

Poincaré type inequalities play a central role in the analysis of domain decomposition and multigrid methods for second-order elliptic problems. However, when the coefficient varies within a subdomain or within a coarse grid element, then standard condition number bounds for these methods may be overly pessimistic. In this short note we present new weighted Poincaré type inequalities for a clas...

Sharp bounds on the effective thermal expansion coefficients of isotropic multiphase composites and isotropic polycrystals are obtained by using classical variational principles and the translation method. Our bounds are appreciably narrower than the known Schapery -Rosen-Hashin bounds. Conditions are formulated that guarantee a one-to-one correspondence between the bulk modulus and thermal exp...