Results 51 to 60 of about 148,924,303 (243)
Some Estimates of the Growth of Polynomials in the Region with Piecewise Smooth Boundary
Cumhuriyet Science JournalIn this paper, we investigate inequalities for higher order derivatives of algebraic polynomials in weighted Lebesgue space. In doing so, using the weighted L_p-norm, we establish the growth of the modulus of the m-th derivatives of algebraic polynomials
Cevahir Doğanay Gün
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Equivalence of the global and local Markov inequalities in the complex plane
Advances in Mathematics, 2019 A compact set $E$ in the complex plane is said to admit the \textit{global Markov inequality} $\text{GMI}(k)$, $k\geq1$, if there exists a constant $M\geq1$ such that \[ {\|p'\|}_{E}\leq Mn^k{\|p\|}_{E} \] holds for any polynomial $p$ of degree at most $n$. It admits the \textit{local Markov property} $\text{LMP}(m)$ if there exist constants $c,k\geq1$
Białas-Cież, Leokadia +1 more
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Limits to the Hall Effect and Other Nonreciprocal Effects in Three‐Dimensional Metamaterials
Advanced Materials, EarlyView.Comprehensive and fundamental bounds on nonreciprocal effects in three‐dimensional metamaterials are derived. They reveal that the effective Hall mobility cannot exceed the largest constituent mobility, that, under certain conditions, the Verdet constant cannot be enhanced, and that, for constituents with Hall coefficients of the same sign, the largest
Christian Kern, Graeme W. Milton
wiley +1 more source
Isoperimetric inequality fortorsional rigidity in the complex plane
Journal of Inequalities and Applications, 2001 The author gives sharp lower bounds for the ratio of the torsional rigidity of the new functionals introduced by \textit{F. G. Avkhadiev} [Solution of the generalized Saint-Venant problem, Mat. Sb. 189, No. 12, 3--12 (1998; Zbl 0939.74036)]. The obtained results are new.
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Advanced Materials, EarlyView.We mechanically program liquid crystal elastomer coatings as a stimuli‐responsive and digitally addressable platform for refreshable tactile displays; we validate the perceptual performance of our dynamic device matches conventional static tactile media.
Tom Bruining +9 more
wiley +1 more source
Some Companions of Fejér's Inequality for Convex Functions [PDF]
, 2009 In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard\ud type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements ...
Hwang, Shiow-Ru +2 more
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Notes on Erdös-Lax and Turán-type polynomial inequalities
Demonstratio MathematicaIn this study, we investigate several well-established Erdös-Lax and Turán-type inequalities that connect the sup-norms of a univariate polynomial with complex coefficients and its ordinary derivative in the complex plane to those concerning the polar ...
Singh Mayanglambam Singhajit +1 more
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Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
RESEARCH OF LOCOMOTIVE MECHANICS BEHAVIOR
Nauka ta progres transportu, 2018 Purpose. The main purpose of the study is to compare and confirm the results of theoretical studies of locomotive motion along the straight and curved track sections in the set range of operating speeds, which is essential for determining their dynamic ...
V. А. Tаtаrinоvа +2 more
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Hilbert transform in the complex plane and area inequalities for certain quadratic differentials. [PDF]
Michigan Mathematical Journal, 1987 The author studies the Hilbert transform \[ T_ E(z)=- \frac{1}{\pi}\iint_{B}\frac{\chi_ E(\zeta)d\mu (\zeta)}{(z-\zeta)^ 2}, \] where \(\chi_ E\) is the characteristic function of a measurable set E in the (open) unit disk B and \(d\mu\) (\(\zeta)\) is Lebesgue measure.
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