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13.418  Articles
1 of 1.343 pages  |  10  records  |  more records»
Information-theoretic inequalities play a fundamental role in numerous scientific and technological areas (e.g., estimation and communication theories, signal and information processing, quantum physics, …) as they generally express the impossibility to h... see more

The purpose of this paper is to use a variant of the Grüss inequality to derive two new sharp Ostrowski-Grüss type inequalities related to a perturbed trapezoidal type rule and a perturbed generalized interior point rule, respectively, which provide impro... see more

Archaeological investigations in the Oman peninsula A preliminary reportThe plain extended, savannah-like with its scattered trees, out toward the mountains. The sand blew before the wind, and settled in miniature dunes against the small thorn bushes arou... see more

Archaeological investigations in the Oman peninsula A preliminary reportThe plain extended, savannah-like with its scattered trees, out toward the mountains. The sand blew before the wind, and settled in miniature dunes against the small thorn bushes arou... see more

For odd r?Nr\in \mathbb{N}; a,ß>0\alpha, \beta >0; p?[1,8]p\in [1, \infty]; d?(0,2p)\delta \in (0, 2 \pi), any 2p2\pi-periodic function x?Lr8(I2p)x\in L^r_{\infty}(I_{2\pi}), I2p:=[0,2p]I_{2\pi}:=[0, 2\pi], and arbitrary measurable set B?I2p,B \subset ... see more

For any q>p>0q > p > 0, ?>0,\omega > 0, d=2?,d \ge 2 \omega,  we obtain the following sharp inequality of various metrics?x?Lq(Id)=?f+c?Lq(I2?)?f+c?Lp(I2?)?x?Lp(Id) \|x\|_{L_q(I_{d})} \le \frac{\|\varphi + c\|_{L_q(I_{2\omega})}}{\|\varphi +... see more

We obtain new sharp inequality of Kolmogorov type for differentiable periodic functions x?L31x \in L_1^3.

We prove a generalization of Bernoulli's inequality and we apply this generalization to sharpen certain Weierstrass product inequalities

For any p∈(0,∞]," role="presentation" style="font-size: 100%; display: inline-block; position: relative;">p?(0,8],p\in (0, \infty], ω>0," role="presentation" style="font-size: 100%; display: inline-block; position: relative;">?>... see more

1 of 1.343 pages  |  10  records  |  more records»