Results 61 to 70 of about 37,190 (197)
Nikolskii-type inequalities for trigonometric polynomials and entire functions of exponential type [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractNikolskii-type inequalities, thus inequalities between different metrics of a function, are established for trigonometric polynomials and pth power integrable functions, 0<p<∞, of several variables having Fourier transform with compact support.
Nessel, R. J., Wilmes, G.
openaire +2 more sources
PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators
International Journal of Robust and Nonlinear Control, Volume 36, Issue 8, Page 4490-4503, 25 May 2026.ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh +2 more
wiley +1 more source
Analytical Approximant to a Quadratically Damped Duffing Oscillator
The Scientific World Journal, 2022 The Duffing oscillator of a system with strong quadratic damping is considered. We give an elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions.
Alvaro H. Salas S
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Advanced Functional Materials, Volume 36, Issue 36, 4 May 2026.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
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Comment on "New Methods for Old Coulomb Few-Body Problems"
, 2005 In this Comment on the above mentioned paper by F. E. Harris, A. M. Frolov, and V. H. Smith, we briefly review our contributions to development of new methods for solution of the Coulomb four-body problem. We show that our research group, headed by Prof.
Frolov +22 more
core +1 more source
Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
Linear independence of time-frequency translates of functions with faster than exponential decay
, 2012 We establish the linear independence of time-frequency translates for functions $f$ having one sided decay $\lim_{x\to \infty} |f(x)| e^{cx \log x} = 0$ for all $c>0$.
Bownik, Marcin, Speegle, Darrin
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Wind Energy, Volume 29, Issue 5, May 2026.ABSTRACT Yaw engineering models are commonly used as add‐ons to the industrial blade element momentum (BEM) framework to improve load and power predictions by accounting for the skewed wake effect. However, existing yaw engineering models show noticeable limitations in accurately predicting the induced velocity distribution across the blade span.
Haoyuan Sun, Andrea Sciacchitano, Wei Yu
wiley +1 more source
Fractal and FractionalA truncated M-fractional Kadomtsev–Petviashvili (KP) equation in high-dimensional space has been proposed. The model provides the oretical support for studying the interaction patterns among waves.
Lihua Zhang +4 more
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Extended Wang sum and associated products.
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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