Results 261 to 270 of about 631,519 (293)

Convolutions with slowly varying functions in the complex domain

Integral Transforms and Special Functions, 2005
We prove a theorem concerning asymptotic behavior of general complex-valued kernel convolutions with slowly varying functions in the sense of Karamata. In applications, we show that the content of some classical theorems can be naturally extended on some parts of complex z-plane.
openaire   +1 more source

Analysis of noise in quartz crystal oscillators by using slowly varying functions method

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1999
By using formal manipulation capability of commercially available symbolic calculation code, it is possible to automatically derive the characteristic polynomial describing the conditions for oscillation of a circuit. The analytical expression of the characteristic polynomial is obtained through an encapsulation process starting from the SPICE netlist ...
Brendel, R., Ratier, N., Couteleau, L., Marianneau, G., Guillemot, P.   +4 more
openaire   +2 more sources

Estimation of slowly time-varying trend function in long memory regression models

Journal of Statistical Computation and Simulation, 2018
ABSTRACTWe study the asymptotic properties of the least-squares estimator for the trend function of a particular class of locally stationary models, which are defined by considering a smooth variation of the trend function. Additionally, errors are assumed to be realizations from a long-range dependent stationary Gaussian process. Our findings are then
Guillermo Ferreira, Nicolas Piña, Emilio Porcu   +2 more
openaire   +2 more sources

Stabilization of nonlinear systems with a slowly varying parameter by a control Lyapunov function

ISA Transactions, 2010
Based on a control Lyapunov function (CLF) strategy, a novel approach for designing a controller for a slowly varying nonlinear system is proposed. The approach may be thought of as being in between the time-invariant and time-varying CLF techniques.
M H, Shafiei, M J, Yazdanpanah
openaire   +2 more sources

Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baran, M., Bieniasz, L. K.
openaire   +2 more sources

Asymptotic expansion of a Fourier integral containing a slowly varying function

USSR Computational Mathematics and Mathematical Physics, 1973
Abstract AN asymptotic expansion is obtained for the integral (2.1) as x → + ∞; certain generalizations of the result are outlined and a concrete example is given. Theorems are incidentally obtained on the asymptotic forms of the integrals (1.5) and (3.2).
openaire   +1 more source

Slowly varying functions in the Zygmund sense and generalized regular variation

Journal of Mathematical Analysis and Applications, 2019
The author analyzes the fundamental role of slowly varying functions (SVF) in the Zygmund sense. Specifically: (1) He derives a necessary and sufficient condition for a positive measurable function to be slowly varying in the Zygmund sense; (2) analytical equivalences involving Zygmund SVF's in probabilistic setting are related to necessary and ...
openaire   +2 more sources

On covariance functions with slowly or regularly varying modulo of continuity

Statistics & Probability Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
exaly  

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
exaly