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The spaces of exponential type vectors of complex degrees of positive operators
Karpatsʹkì Matematičnì Publìkacìï, 2013 New classes of interpolation spaces of exponential type vectors of complex degrees of positive operators are defined. Properties of the approximation spaces generated by the considered interpolation spaces are investigated.
M. I. Dmytryshyn
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Hardy type derivations on fields of exponential logarithmic series [PDF]
, 2011 We consider the valued field $\mathds{K}:=\mathbb{R}((\Gamma))$ of formal series (with real coefficients and monomials in a totally ordered multiplicative group $\Gamma>$).
Alling +12 more
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Exponential Rosenbrock-Type Methods
SIAM Journal on Numerical Analysis, 2009 We introduce a new class of exponential integrators for the numerical integration of large-scale systems of stiff differential equations. These so-called Rosenbrock-type methods linearize the flow in each time step and make use of the matrix exponential and related functions of the Jacobian.
Hochbruck, Marlis +2 more
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Multivariate Exponential-type Distributions [PDF]
The Annals of Mathematical Statistics, 1968 Let $\mathbf{x}$ and $\mathbf{\theta}$ denote $s$-dimensional column vectors. The components $x_1, x_2,\cdots x_s$ of $\mathbf{x}$ are random variables jointly following an $s$-variate distribution and components $\theta_1, \theta_2,\cdots, \theta_s$ of $\mathbf{\theta}$ are real numbers.
Bildikar, Sheela, Patil, G. P.
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Global Dynamics of Some Exponential Type Systems
Discrete Dynamics in Nature and Society, 2020 We explore the boundedness and persistence, existence of an invariant rectangle, local dynamical properties about the unique positive fixed point, global dynamics by the discrete-time Lyapunov function, and the rate of convergence of some 2,3-type ...
A. Q. Khan +6 more
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Entire bivariate functions of exponential type [PDF]
Bulletin of Mathematical Sciences, 2015 In this paper we will analysis the concepts of bivariate entire complex valued functions of exponential type. To accomplish this goal, we begin with the presentation of a notion of bounded index for bivariate complex functions. Using this notion we present a series of sufficient conditions that ensure that exponential type is preserved.
Richard F. Patterson +2 more
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A note on functions of exponential type
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Antanas Laurinčikas
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Journal of Mathematics, 2020 In this paper, the authors investigated the concept of s,m-exponential-type convex functions and their algebraic properties. New generalizations of Hermite–Hadamard-type inequality for the s,m-exponential-type convex function ψ and for the products of ...
Artion Kashuri +5 more
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Exponential stability of Hopfield neural networks of neutral type with multiple time-varying delays
AIMS Mathematics, 2021 This paper investigates the problem for exponential stability of Hopfield neural networks of neutral type with multiple time-varying delays. Different from the existing results, the states of the neurons involve multiple time-varying delays and time ...
Li Wan +3 more
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New $L^2$-type exponentiality tests
Sort-statistics and Operations Research Transactions, 2018 We introduce new consistent and scale-free goodness-of-fit tests for the exponential distribution based on the Puri-Rubin characterization. For the construction of test statistics we employ weighted L2 distance between V-empirical Laplace transforms of random variables that appear in the characterization.
Cuparić, Marija +2 more
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