Results 21 to 30 of about 245 (39)

Randomly stopped maximum and maximum of sums with consistently varying distributions

, 2017
Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent random variables, and $\eta$ be a counting random variable independent of this sequence. In addition, let $S_0:=0$ and $S_n:=\xi_1+\xi_2+\cdots+\xi_n$ for $n\geqslant1$. We consider conditions for
Andrulytė, Ieva Marija, Manstavičius, Martynas, Šiaulys, Jonas   +2 more
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Commutants of the Dunkl Operators in C(R) [PDF]

, 2006
2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15 ...
Dimovski, Ivan, Hristov, Valentin, Sifi, Mohamed   +2 more
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A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting

Demonstratio Mathematica
In this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.
Gargouri Ameni
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Dunkl-spherical maximal function [PDF]

, 2013
In this paper, we study the Lp-bondedness of the spherical maximal function associated to the Dunkl operators.Comment: 16 pages.
Jemai, Abdessattar
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Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

Nonautonomous Dynamical Systems
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode, Ngarmadji Kossadoum, Koumla Sylvain   +2 more
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Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
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Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints [PDF]

, 2010
MSC 2010: 44A35, 35L20, 35J05, 35J25In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact,
Tsankov, Yulian
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A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

On the link between Binomial Theorem and Discrete Convolution of Polynomials

, 2020
Let $\mathbf{P}^{m}_{b}(x), \; m\in\mathbb{N}$ be a $2m+1$-degree integer-valued polynomial in $b,x\in\mathbb{R}$. In this manuscript we show that Binomial theorem is partial case of polynomial $\mathbf{P}^{m}_{b}(x)$. Furthermore, by means of $\mathbf{P}
Kolosov, Petro
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