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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On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces [PDF]
, 2006 2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable ...
Abdelkefi, Chokri, Sifi, Mohamed
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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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Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R [PDF]
, 2006 2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh
Ben Salem, N. +2 more
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Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures. [PDF]
Entropy (Basel), 2022 Srivastava HM +3 more
europepmc +1 more source
Weighted norm inequalities for convolution and Riesz potential
, 2013 In this paper, we prove analogues of O'Neil's inequalities for the convolution in the weighted Lebesgue spaces.
Nursultanov, Erlan, Tikhonov, Sergey
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Modelling and Simulation of Compton Scatter Image Formation in Positron Emission Tomography. [PDF]
J Inverse Ill Posed Probl, 2020 Kazantsev IG +6 more
europepmc +1 more source
Analysis of a hyperbolic geometric model for visual texture perception. [PDF]
J Math Neurosci, 2011 Faye G, Chossat P, Faugeras O.
europepmc +1 more source
Theoretical analysis of J-transform decomposition method with applications of nonlinear ordinary differentialequations. [PDF]
Sci ProgObeidat NA, Rawashdeh MS, Al Smadi MN.
europepmc +1 more source
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