in this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. upper bounds for the second and third coefficients of functions in this subclass are founded. our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.

the momentum equation in the kinematic wave model is a power-law equation with two parameters. these parameters, which relate the discharge to the flow area, are commonly derived using manning’s equation. in general, the values of these parameters depend on the flow depth except for some special cross sections. in this paper, improved estimates of the kinematic wave parameters for circular chan...

Let $\mathbb{H}$ be a $(d-1)$-dimensional hyperbolic paraboloid in $\mathbb{R}^d$ and let $Ef$ the Fourier extension operator associated to $\mathbb{H}$, with $f$ supported $B^{d-1}(0,2)$. We prove that $\lVert Ef \rVert\_{L^p (B(0,R))} \leq C\_{\varepsilon}R^{\varepsilon}\lVert f \rVert\_{L^p}$ for all $p \geq 2(d+2)/d$ whenever $d/2\geq m + 1$, where $m$ is minimum between number of positive ...

In this paper, we consider the Lamé operator $$-\Delta ^*$$ and study resolvent estimate, uniform Sobolev Carleman estimate for . First, obtain sharp $$L^p$$ – $$L^q$$ estimates admissible p, q. This extends particular case $$q=\frac{p}{p-1}$$ due to Barceló et al. [4] Cossetti [8]. Secondly, show failure of For purpose directly analyze Fourier multiplier resolvent. allows us prove not only upp...

In this article we consider the stochastic restricted ridge estimation in semipara-metric linear models when the covariates are measured with additive errors. The development of penalized corrected likelihood method in such model is the basis for derivation of ridge estimates. The asymptotic normality of the resulting estimates are established. Also, necessary and sufficient condition...

If we try to estimate the parameters of the AR process {Xn} using the observed process {Xn+Zn} then these estimates will be badly biased and not consistent but we can minimize the damage using a robust estimation procedure such as GM-estimation. The question is does additive contamination affect estimates of “core” parameters in the infinite variance case to the same extent that it does in the ...