Results 291 to 300 of about 204,914 (324)

Weighted Poincare inequalities

IMA Journal of Numerical Analysis, 2012
Poincare-type inequalities are a key tool in the analysis of partial differential equations. They play a particularly central role in the analysis of domain decomposition and multilevel iterative methods for second-order elliptic problems. When the diffusion coefficient varies within a subdomain or within a coarse grid element, then condition number ...
C. Pechstein, R. Scheichl
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Weighted Nikol'skiĭ-type inequalities

Publicationes Mathematicae Debrecen, 1994
In this interesting paper, the author extends many results for the Freud weights \(\exp(- |x|^\beta)\), \(\beta> 0\), to the Freud weights with power factors \[ W_{\alpha, \beta} (x):= |x|^{\alpha/2} \exp(- |x|^\beta). \] These include a Nikolskij inequality of the form \[ |P_n W_{\alpha, \beta}|_{L_p(\mathbb{R})}\leq CN_n(p, q)|P_n W_{\alpha, \beta ...
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On Weighted Norm Inequalities with Three Weights

Journal of the London Mathematical Society, 1993
Let \(r\), \(\varrho\), \(v\) be three weight functions. The author gives necessary and sufficient conditions in order that the inequality \[ \left(\int_ a^ b| rf|^ q\right)^{1/q}\leq C\left(\int_ a^ b |\varrho f'|^ p+ \int_ a^ b | vf|^ p\right)^{1/p} \] holds. Both, the cases \(1\leq p\leq\infty\) and \(1\leq q< p\leq\infty\) are treated.
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Weighted Polynomial Inequalities

2013
Polynomial inequalities have been playing crucial roles in approximation theory and related fields. Several such inequalities on the unit sphere will be established in this chapter. Since some of them will be needed in weighted approximation theory and harmonic analysis in later chapters, we prove them in the weighted L p norm.
Feng Dai, Yuan Xu
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A Weighted Erdös-Mordell Inequality

The American Mathematical Monthly, 2001
(2001). A Weighted Erdos-Mordell Inequality. The American Mathematical Monthly: Vol. 108, No. 2, pp. 165-168.
Seannie Dar, Shay Gueron
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Weighted norm inequalities

1997
In this chapter we prove that if Γ is a Carleson curve and w is a weight in A P (Γ) (1
Albrecht Böttcher, Yuri I. Karlovich
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ON SOME INEQUALITIES WITH WEIGHTS

Acta Mathematica Scientia, 1989
Summary: This note is a continuation of the first author's papers [Adv. Math. 7 (1964) and Acta Math. Sci. 2, 325-337 (1982; Zbl 0603.46038)]. We get further completions and new applications of the power weight inequalities in the papers cited.
Ding, Xiaxi, Luo, Peizhu
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Weighted Hardy inequality

Siberian Mathematical Journal, 1988
Translation from Sib. Mat. Zh. 28, No.3(163), 205-207 (Russian) (1987; Zbl 0624.26015).
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On weighted Hermite–Hadamard inequalities

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao, Zhen-Gang, Zhang, Zhi-Hua, Wu, Yu-Dong   +2 more
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Sobolev Inequalities for Weighted Gradients

Communications in Partial Differential Equations, 2006
We study symmetry, existence, and uniqueness properties of extremal functions for the weighted Sobolev inequality where x ∈ ℝ m , y ∈ ℝ k with m,k ≥ 1 and n = m + k, α > 0, and Q = m + k(α + 1).
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