Results 101 to 110 of about 1,589,926 (279)
Variations on statistical quasi Cauchy sequences
Boletim da Sociedade Paranaense de Matemática, 2019 In this paper, we introduce a concept of statistically $p$-quasi-Cauchyness of a real sequence in the sense that a sequence $(\alpha_{k})$ is statistically $p$-quasi-Cauchy if $\lim_{n\rightarrow\infty}\frac{1}{n}|\{k\leq n: |\alpha_{k+p}-\alpha_{k}|\geq{\varepsilon}\}|=0$ for each $\varepsilon>0$.
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A New Implementation of Network GARCH Model for Stock Volatility and Co‐Volatility Forecasting
Journal of Forecasting, EarlyView.ABSTRACT Volatility clustering and spillovers are key features of financial time series with many cross‐sectional assets. While network analysis links similar or correlated stocks and helps trace volatility spillovers, contemporary multivariate ARCH‐GARCH formulations struggle to represent structured network dependence and remain parsimonious.
Peiyi Zhou
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Compact Single‐Shot Incoherent Edge Detection With a Polarization‐Multiplexed Metalens
Laser &Photonics Reviews, EarlyView.A polarization‐sensitive metalens enables single‐shot incoherent edge detection by generating two polarization‐dependent images and digitally subtracting them to realize a high‐pass optical transfer function. ABSTRACT Edge detection under incoherent illumination is highly desirable for compact vision systems but remains challenging due to the lack of ...
Weiyan Li +17 more
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Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, EarlyView.ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
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Informal Complete Metric Space and Fixed Point Theorems
Axioms, 2019 The concept of informal vector space is introduced in this paper. In informal vector space, the additive inverse element does not necessarily exist. The reason is that an element in informal vector space which subtracts itself cannot be a zero element ...
Hsien-Chung Wu
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Cauchy products of positive sequences
Rocky Mountain Journal of Mathematics, 1990 For sequences \((a_ n)\), \((b_ n)\), the Cauchy product is the sequence \((c_ n)\) defined by \(c_ n=\sum^{n}_{j=1}a_{n-j}b_ j\). Consider the following two properties for positive sequences: \[ (*)\quad \lim_{n}\inf (\inf_{k\geq 1}t^{-1}_{k+n}t_ k)^{1/n}\geq 1;\quad (**)\quad t^ 2_ k\geq t_{k-1}t_{k+1}.
BADRI, M., SZEPTYCKI, P.
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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
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, 2011 In this note we introduce and define half Cauchy sequences. We prove that a sequence of real numbers is convergent if and only if it is bounded and half Cauchy. We also provide an example of how the concept may be used.
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, 2023 By using operator techniques, we solve the paraxial wave equation for a field given by the multiplication of a Gaussian function and an entire function.
U. Ruíz (17403130) +5 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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