Here we give a Voronovskaja formula of high order for linear combinations of the convolution operators(Gw,rf)(s)=∫0+∞∑j=1rαjKjw(t)f(st)dtt,where Kw is the Mellin–Gauss–Weierstrass kernel. This kind of operator provides a better order of pointwise approximation and leads to ...
The process is similar to the linear convolution but implemented circularly. Sign in to download full-size image Figure 10.12. Periodic convolution of the Fourier series coefficients X[k] and Y[k]. For periodic signals x[n] and y[n] of period N, we have (a) Duality in time and ...
1)convolution formula卷积公式 1.By using convolution formulas,counting problems of S(n)-factors are studied.采用组合卷积公式方法,研究图的S(n)-因子的计数问题。 2.In this paper, a Vandermonde-type convolution formula by using the Lagrange-Bürmann inversion formula is presented.利用Lagrange Bürmann...
International Journal of Non-Linear MechanicsFeng, W. W., 1992, "A Recurrence Formula for Viscoelastic Constitutive Equa- tions," Int. J. Nonlinear Mech., 27(4), pp. 675-678.Feng, W.W.: A recurrence formula for viscoelastic constitutive equations. Int. J. Non-Linear Mech. 27 , 675–...
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We prove the existence of a smooth density for a convolution semigroup on a symmetric space and obtain its spherical representation. L Ming,L Wang - 《Potential Analysis》 被引量: 20发表: 2007年 Beurling-Deny formula of semi-Dirichlet forms Our result is regarded as an extension of the cele...
definition formula properties table laplace transform of derivative step function bilateral laplace transform inverse laplace transform convolution integral laplace transform in probability theory applications examples laplace equation faqs what is the laplace transform? a function is said to be a piecewise ...
This procedure provides an effective correction similar to the powerful technique for correcting the measured linewidths in Raman spectroscopy where the observed spectroscopic band shape is the convolution of the physical and the instrumental contributions47,48,49. To further justify the effectiveness of ...
A gap formula for a transform (1) is an operator J on f(x) (2) Such operators are known for Laplace transform [1; p.91] and [4; pp. 296–299], Stieltjes transform [4; pp. 351–353], a class of convolution transforms [2] and others. Gap formulae for the Weierstrass transform...
A CRITERION FOR THE SOLVABILITY OF NONHOMOGENEOUS CONVOLUTION EQUATIONS IN CONVEX DOMAINS OFCn A criterion is given, in terms of the Laplace transform of an analytic functional , for the convolution operator , corresponding to this functional, to be ... AS Krivosheev - Mathematics of the USSR-...