Results 51 to 60 of about 1,563 (216)
Journal of Forecasting, EarlyView.ABSTRACT Deep learning‐based long time series forecasting (LTSF) has achieved high accuracy by effectively capturing the underlying trends, seasonality, and temporal dependencies within time series data. However, at the individual entity level, termed the low aggregation level (LAL), intermittency, irregularity, and data sparsity undermine the ...
Hanbyeol Park +5 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley +1 more source
Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study presents a combined analytical and numerical investigation of a single‐input single‐output delayed feedback controller designed to suppress vibrations in a cantilever beam actuated by an electromagnet positioned beneath its free end. An analytical model was developed using the linearized equation of motion for a transversely excited
Mohammad Alabdullah, Khaled Alhazza
wiley +1 more source
Hypergeometric degenerate Bernoulli polynomials and numbers
Ars Mathematica Contemporanea, 2020 Summary: Carlitz defined the degenerate Bernoulli polynomials \(\beta_n(\lambda,x)\) by means of the generating function \(t\left((1+\lambda t)^{1\lambda} -1\right)^{-1}(1+\lambda t)^{x/\lambda}\). In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy and Euler numbers.
openaire +3 more sources
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi +5 more
wiley +1 more source
Statistical Monitoring of Multivariate Count Data From Real‐Time Particle Counters
Quality and Reliability Engineering International, EarlyView.ABSTRACT In the pharmaceutical industry, production environments are monitored for bacterial contamination. Particle counters are increasingly investigated for real‐time monitoring of viable microorganisms using count data for different particle size intervals.
Mona Emampour +2 more
wiley +1 more source
A note on degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
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Small Methods, EarlyView.For the observation of micromechanical devices, a fast imaging technique with high temporal resolution is needed. Here, we demonstrate that a standard scanning electron microscope can be converted into a time‐resolving instrument using a fast detector and a time‐to‐digital converter.
Joel Rehmann +4 more
wiley +1 more source
New families of special numbers and polynomials arising from applications of p-adic q-integrals
Advances in Difference Equations, 2017 In this manuscript, generating functions are constructed for the new special families of polynomials and numbers using the p-adic q-integral technique. Partial derivative equations, functional equations and other properties of these generating functions ...
Daeyeoul Kim +3 more
doaj +1 more source