Performance prediction is a crucial step for transforming the eld of object recognition from an art to a science. In this paper, we address this problem in the context of a vote-based approach for object recognition using 2-D point features. A method is presented for predicting tight lower and upper bounds on fundamental performance of the selected recognition approach. Performance bounds are p...

In this paper, we make use of the concept q−calculus in theory univalent functions, to obtain bounds for certain coefficient functional problems Janowski type starlike functions and find Fekete–Szegö functional. A similar results have been done function ℘−1. Further, newly defined class determine estimates, distortion bounds, radius problems, related partial sums.

In the present paper, we investigate some basic properties of a subclass of harmonic functions defined by multiplier transformations. Such as, coefficient inequalities, distortion bounds and extreme points.

In terms of Wright generalized hypergeometric function we define a class of analytic functions. The class generalize well known classes of k-starlike functions and k-uniformly convex functions. Necessary and sufficient coefficient bounds are given for functions in this class. Further distortion bounds, extreme points and results on partial sums are investigated.

Necessary and sufficient coefficient bounds and convolution condition for certain multivalent harmonic functions whose convolution with generalized hypergeometric functions is starlike of order γ are investigated. Results on extreme points, convex combination and distortion bounds using the coefficient condition are also obtained. 2010 Mathematics Subject Classification: 30C45, 30C50

A comprehensive class of complex-valued harmonic prestarlike univalent functions is introduced. Necessary and sufficient coefficient bounds are given for functions in this class to be starlike. Distortion bounds and extreme points are also obtained. 2000 Mathematics Subject Classification:Primary 30C45, 30C50.

We derive a simple general parametric representation of the rate–distortion function of a memoryless source, where both the rate and the distortion are given by integrals whose integrands include the minimum mean square error (MMSE) of the distortion ∆ = d(X, Y ) based on the source symbol X , with respect to a certain joint distribution of these two random variables. At first glance, these rel...

Quantifying the errors introduced by signal sampler imperfections is of interest to people who are doing frequency domain measurements. The phase-distortion introduced by the sampler is hard to quantify and is usually neglected. In this article upper bounds for this phase-distortion error are derived which are based upon simple assumptions, namely that the sampler weighting function is strictly...