Journal of Contemporary Mathematical Analysis
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Orientation-dependent distribution of the length of a random segment and covariogram
Journal of Contemporary Mathematical Analysis - Tập 50 - Trang 90-97 - 2015
The paper considers a random segment L(ω) in R
n
with fixed direction and length that intersects a given bounded convex body D ⊂ R
n
. We obtain a relationship between the covariogram of D and the distribution of the random variable |L| — the length of L ∩ D. A relationship between the distributi......
Fine properties of functions from Hajłasz–Sobolev classes M α p , p > 0, II. Lusin’s approximation
Journal of Contemporary Mathematical Analysis - Tập 52 - Trang 30-37 - 2017
The present paper is devoted to the Lusin’s approximation of functions from Hajłasz–Sobolev classes M
(X) for p > 0. It is proved that for any f ∈ M
......
On unbounded divergence sets of series in orthonormal bases
Journal of Contemporary Mathematical Analysis - Tập 47 - Trang 234-239 - 2012
In this paper we establish a number of theorems providing complete characterizations of divergence sets of general series in orthogonal bases with a localization property.
Integration of combinatorial decompositions in the presence of collinearities
Journal of Contemporary Mathematical Analysis - Tập 43 Số 1 - Trang 3-20 - 2008
On the invertible algebras linear over an Abelian group
Journal of Contemporary Mathematical Analysis - Tập 48 - Trang 158-165 - 2013
In this paper using the second order formula, namely the ∀∃(∀)-identities, we characterize some subclasses of the invertible algebras that are linear over an Abelian group and have restrictions on the use of the automorphisms of the corresponding group.
Covariogram of a cylinder
Journal of Contemporary Mathematical Analysis - Tập 49 - Trang 366-375 - 2014
In this paper we establish relationships between the covariogram and the orientation-dependent chord length distribution function of a cylinder and those of its base. Also, we obtain explicit expressions for the covariogram and the orientation-dependent chord length distribution function of a cylinder with cyclic, elliptical and triangular bases.
New Integral Representations for the Fox–Wright Functions and Its Applications II
Journal of Contemporary Mathematical Analysis - Tập 56 - Trang 37-45 - 2021
In this paper our aim is to establish new integral representations for the Fox–Wright function
$${}_{p}\Psi_{q}[^{(\alpha_{p},A_{p})}_{(\beta_{q},B_{q})}|z]$$
when
$$\mu=\sum_{j=1}^{q}\beta_{j}-\sum_{k=1}^{p}......
On a general nonlinear problem with distributed delays
Journal of Contemporary Mathematical Analysis - Tập 52 - Trang 184-190 - 2017
The paper considers a general system of ordinary differential equations appearing in the neural network theory. The activation functions are assumed to be continuous and bounded by power type functions of the states and distributed delay terms. These activation functions are not necessarily Lipschitz continuous as it is commonly assumed in the literature. We obtain sufficient conditions for expone......
Uniqueness of a Meromorphic Function Partially and Normally Sharing Small Functions with Its Different Variants of Generalized Operator
Journal of Contemporary Mathematical Analysis - - 2023
Asymptotic Behavior of the Variance of the Best Linear Unbiased Estimator for the Mean of a Discrete-time Singular Stationary Process
Journal of Contemporary Mathematical Analysis - Tập 54 - Trang 371-380 - 2019
It is known that for a wide class of discrete-time stationary processes possessing spectral densities f, the variance σ2(f) of the best linear unbiased estimator for the mean depends asymptotically only on the behavior of the spectral density f near the origin, and behaves hyperbolically as n → ∞. In this paper, we obtain necessary as well as sufficient conditions for exponential rate of decrease ......
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