Degree of approximation of signals in certain Lipschitz classes by the Zweier–Euler product summability method of Fourier series
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7074
Abstract: The paper introduces the notion of a new product summability method, which is obtained by superimposing the Zweier method on the Euler method. This method is applied to obtain the degree of approximation of Fourier… read more here.
Keywords: degree approximation; product summability; method; fourier series ... See more keywords
Pointwise $$\left( H,\Phi \right) $$H,Φ Strong Approximation by Fourier Series of $$L^{1}$$L1 Integrable Functions
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DOI: 10.1007/s00025-018-0892-8
Abstract: We will present an estimation of the generalized strong mean $$\left( H,\Phi \right) $$H,Φ as an approximation version of the Totik type generalization of the results of J. Marcinkiewicz and A. Zygmund on strong summability… read more here.
Keywords: series integrable; approximation; left phi; phi right ... See more keywords
Norm convergence of double Fourier series on unbounded Vilenkin groups
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DOI: 10.1007/s10474-017-0703-9
Abstract: We study approximation by rectangular partial sums of double Fourier series on unbounded Vilenkin groups in the spaces C and L1. From these results we obtain criterions of the uniform convergence and L-convergence of double… read more here.
Keywords: unbounded vilenkin; series; double fourier; fourier series ... See more keywords
Adaptive Fourier Series Neural Network PID Controller
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DOI: 10.1007/s12555-020-0185-3
Abstract: In this work, an Adaptive Neural Networks PID controller structure, called Adaptive Fourier Series Neural Networks PID controller (AFSNNPID), is developed. The main objective is to obtain a simple controller for nonlinear systems that can… read more here.
Keywords: neural network; series neural; controller; fourier series ... See more keywords
An application of quasi-monotone sequences to infinite series and Fourier series
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DOI: 10.1007/s13324-017-0164-x
Abstract: In this paper, we proved a known theorem dealing with $$|\bar{N},p_{n}|_{k}$$|N¯,pn|k summability factors of infinite series under weaker conditions. Also we applied this theorem to the Fourier series. read more here.
Keywords: application quasi; quasi monotone; series; monotone sequences ... See more keywords
An improvement of the generalized discrete Fourier series based patch near-field acoustical holography
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DOI: 10.1016/j.apacoust.2020.107711
Abstract: Abstract Patch near-field acoustic holography (NAH) is an effective tool for reconstructing sound field with a small microphone array. The generalized discrete Fourier series based near-field acoustic holography (GDFS-NAH) is a natural patch NAH method.… read more here.
Keywords: fourier series; generalized discrete; discrete fourier; near field ... See more keywords
Finding a better shape: Morphological description of strain response envelopes using a Fourier series approximation method
Sign Up to like & getrecommendations! Published in 2018 at "Computers and Geotechnics"
DOI: 10.1016/j.compgeo.2017.08.021
Abstract: Abstract This paper introduces a new method for quantifying the morphological evolution of the strain response envelope (SRE). The Fourier series approximation was used to trace the morphological characteristics of SREs. Two SREs computed via… read more here.
Keywords: fourier series; strain response; series approximation;
Characterization and regeneration of 2D general-shape particles by a Fourier series-based approach
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DOI: 10.1016/j.conbuildmat.2020.118806
Abstract: Abstract The macroscopic mechanical behaviors of granular construction materials are fundamentally linked to the morphology of the particles. Characterization of real particles is important for exploring the linkage through physical investigation, while regeneration of virtual… read more here.
Keywords: general shape; series based; shape particles; approach ... See more keywords
Limit analysis of circular plates with arbitrary rotational symmetric loading using Fourier series expansion
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DOI: 10.1016/j.ijmecsci.2017.06.014
Abstract: Abstract This paper presents new solutions for the load carrying capacity of a circular plate subjected to arbitrary rotational symmetric loadings. Simply supported and clamped boundary conditions are considered. The lower bound method of limit… read more here.
Keywords: series expansion; rotational symmetric; arbitrary rotational; limit analysis ... See more keywords
On the modelling of plastic anisotropy, asymmetry and directional hardening of commercially pure titanium: A planar Fourier series based approach
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DOI: 10.1016/j.ijplas.2017.02.010
Abstract: Abstract Uni-axial tension and compression tests were conducted on commercially pure titanium sheet. Strong anisotropy and tension-compression asymmetry was observed. The work hardening behaviour was found to be strongly dependent on the direction and sign… read more here.
Keywords: pure titanium; asymmetry; commercially pure; fourier series ... See more keywords
FAT-Based Robust Adaptive Control of Electrically Driven Robots in Interaction with Environment
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DOI: 10.1017/s0263574718001327
Abstract: Summary This paper presents a robust adaptive impedance controller for robot manipulators using function approximation techniques (FAT). Recently, FAT-based robust impedance controllers have been presented using Fourier series expansion for uncertainty estimation. In fact, sinusoidal… read more here.
Keywords: control electrically; robust adaptive; fat based; adaptive control ... See more keywords