Results 71 to 80 of about 227,128 (319)
Sharp Bounds for Neuman Means by Harmonic, Arithmetic, and Contraharmonic Means
Abstract and Applied Analysis, 2014 We give several sharp bounds for the Neuman means NAH and NHA (NCA and NAC) in terms of harmonic mean H (contraharmonic mean C) or the geometric convex combination of arithmetic mean A and harmonic mean H (contraharmonic mean C and arithmetic mean A) and
Zhi-Jun Guo +3 more
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Improved arithmetic-geometric mean inequality and its application
, 2015 In this short note, we present a refinement of the well-known arithmetic-geometric mean inequality. As application of our result, we obtain an operator inequality. Mathematics subject classification (2010): 46A73, 26D07, 26D15.
L. Zou, Youyi Jiang
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Refined Arithmetic, Geometric and Harmonic Mean Inequalities
Rocky Mountain Journal of Mathematics, 2003 Noting that \(1-1/x\) is a concave function the author applies the Hermite-Hadamard inequality \[ {f(a) + f(b)\over 2}\leq {1\over b-a}\int_a^b f\leq f\bigl((a+b)/2\bigr) \] to obtain the inequalities \[ {(x-1)^2\over2x}\leq(\geq)\, x-1-\log x\leq(\geq)\, {(x-1)^2\over x+1},\quad x>1(\leq 1).
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Advanced Materials Technologies, EarlyView.Binder‐free EGaIn–CB composite deliver printable, recyclable liquid‐metal conductors without sintering or polymer binders. Only 1.5 wt% CB yields shear‐thinning, high‐viscosity rheology, ∼60% bulk EGaIn conductivity, robust stretchability, high thermal conductivity, and strong EMI shielding (35 → 70 dB at 100% strain).
Elahe Parvini +4 more
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On Approximating the Toader Mean by Other Bivariate Means
Journal of Function Spaces, 2019 In the article, we provide several sharp bounds for the Toader mean by use of certain combinations of the arithmetic, quadratic, contraharmonic, and Gaussian arithmetic-geometric means.
Jun-Li Wang +3 more
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, 2016 In this short note, we obtain an inequality for unitarily invariant norms which is a generalization of one shown by Audenaert [Oper. Matrices. 9 (2015) 475–479]. An application of our result is also given.
L. Zou, Youyi Jiang
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Tunable Applicator for Microneedle‐Based Medical Devices
Advanced Materials Technologies, EarlyView.This paper presents a simple, low‐cost tunable applicator (TAPP) for microneedle array patches that uses a material‐agnostic controlled‐fracture mechanism to ensure reliable skin penetration and uniform array engagement. The scalable, modular design is compatible with injection molding and 3D printing, can be integrated directly into patches, and is ...
Dan Ilyn +9 more
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Asymptotic expansion of the arithmetic-geometric mean and related inequalities
, 2015 Asymptotic expansion of the arithmetic-geometric mean is obtained and it is used to analyze inequalities and relations between arithmetic-geometric mean and other classical means.
Tomislav Buric, N. Elezovic
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Some Mean Values Related to the Arithmetic–Geometric Mean
Journal of Mathematical Analysis and Applications, 1998 Let \[ r_n(t)= (a^n\cos^2t+ b^n\sin^2 t)^{1/n}\qquad (n\neq 0,\text{ integer}); \] \[ r_0(t)= \lim_{n\to\infty} r_n(t)= a^{\cos^2 t}b^{\sin^2 t} \qquad (a, b>0). \] For a strictly monotonic function \(p:\mathbb{R}^+\to\mathbb{R}\) let \(M_{p,n}(a,b)= p^{-1}\left({1\over 2\pi} \int^{2\pi}_0 p(r_n(t))dt\right)\).
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Auto‐Routing Fluidic Printed Circuit Boards
Advanced Robotics Research, EarlyView.This work introduces (STREAM) software tool for routing efficiently advanced macrofluidics, an open‐source software tool for automating the design of 3D‐printable fluidic circuit boards. STREAM streamlines tube routing and layout, enabling the rapid fabrication of fluidic networks for soft robotics, lab‐on‐a‐chip devices, microfluidics, and biohybrid ...
Savita V. Kendre +3 more
wiley +1 more source