We introduce a class TS p(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z) = z+ P∞ n=2 bnz , bn > 0, |z| < 1. We obtain the coefficient inequality, coefficient estimate, distortion theorem, a convolution result, extreme points and integral representation for functions in the class TS p(α).

This paper extends the partially linear varying coefficient model to contain time trend and nonstationary variables as regressors. We use the profile likelihood method to estimate both time trend coefficient in the linear component and the functional coefficients in the nonlinear component and establish their asymptotic distributions. Monte Carlo simulations are shown to investigate the finite ...

We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d ≥ 3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition, a global logarithmic stability estimate for this inverse problem in dimension d = 2 is also gi...

Disopyramide is determined in serum by gas chromatography with a nitrogen-selective detector, by liquid chromatography, and by gas chromatography--mass spectrometry. Comparable results are obtained with the three techniques, with a within-run and between-run precision of 5 to 10% (coefficient of variation). Least-squares analysis of data on patients' sera, analyzed first by gas chromatography (...

An estimation problem is considered for a stochastic parabolic equation with an unknown random coefficient. The additional randomness in the coefficient generalizes a popular estimation problem that has been extensively studied in recent years. The filter estimate of the coefficient is constructed from a finite-dimensional projection of the solution of the equation. Under certain conditions thi...

In order to evaluate the effect of dropping parts of coefficients in H.264 bit-stream, the distortion aroused by coefficient dropping has to be estimated accurately. In this paper, an efficient method is presented to estimate the distortion of a frame during the error propagation caused by single frame coefficient dropping of H.264 bit-stream. At first, through analyzing the image reconstructio...

[1] Estimates of the oceanic lateral eddy diffusion coefficient Aredi vary by more than an order of magnitude, ranging from less than a few hundred m/s to thousands of m/s. This uncertainty has first-order implications for the intensity of oceanic hypoxia, which is poorly simulated by the current generation of Earth System Models. Using satellite-based estimate of oxygen consumption in hypoxic ...

We consider the heat equation ∂ty − div(c∇y) = H with a discontinuous coefficient in three connected situations. We give uniqueness and stability results for the diffusion coefficient c(·) in the main case from measurements of the solution on an arbitrary part of the boundary and at a fixed time in the whole spatial domain. The diffusion coefficient is assumed to be discontinuous across an unkn...

Abstract Both varying-coefficient and additive models have been studied extensively in the literature as extensions to linear models. They have also been extended to functional response data. However, existing extensions are still not sufficiently flexible to reflect the functional feature of the responses. In this paper, we extend both varying-coefficient and additive models to a much more fle...