In this work a technique of solution for a class of linear equations in a Hilbert space H is described. The method is based on the Gram-Schmidt orthogonalization of a suitable base of a subspace of H. A particular case when the operator is the product of two projection operators is ...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook contour integral [′kän‚tu̇r ‚in·tə·grəl] (mathematics) A line integral of a complex function, usually over a simple closed curve. ...
The Applications of Cardinal Trigonometric Splines in Solving Nonlinear Integral Equations integral equations of the second kind: where is a complex number, the kernel , , and are known functions, and is an unknown function to be determined... X Jin,X Liu,L Xu - 《Isrn Applied Mathematics》...
In mathematics, there are several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet.One of those is the improper integral of the sinc function over the positive real line,概率论基本公式Double imprope
So, as a series, ∫sinc(x)dx=xc+1∑n=0∞(−1)nPn(c)αnx2n2n+c+1∫sinc(x)dx=xc+1∑n=0∞(−1)nPn(c)αnx2n2n+c+1 Computing for axample ∫π20sinπ(x)dx∫0π2sinπ(x)dx as a function of the number of terms used in the summation ⎜⎜⎜⎜...
We say that f is fuzzy continuous on [a, b] if f is continuous at each \(x_{0}\in [a,b]\), and denotes the space of all such functions by \(C_{F}[a,b]\).Definition 2.7 [3] Let \(f:[a,b]\rightarrow \mathbb {R}_{F}\) be a bounded mapping. Then the function \...
Determination of an unknown function in a parabolic inverse problem by Sinc‐collocation method In this article, an inverse problem of determining an unknown time-dependent source term of a parabolic equation is considered. We change the inverse probl... A Shidfar,R Zolfaghari - 《Numerical Method...
Using Sinc-collocation method for solving weakly singular Fredholm inte- gral equations of the first kind[J]. Appl. Anal., 2017, 96(4): 702-713.Maleknejad K,Ostadi A.Using Sinc-collocation method for solving weakly singular Fredholm inte-gral equations of the rst kind[J].Appl.Anal.,...
f∞(x)={1xsinc−1(1x),0,x≥1x<1,f∞(x)={1xsinc−1(1x),x≥10,x<1, where sinc−1sinc−1 is the inverse of the function sinc(x)=sinxxsinc(x)=sinxx restricted to [0,π][0,π]. This expression matches the above figure below the ...
Consider the values of an arbitrary function f∈C2n0,1 and its derivatives up to (n−1)th order are given at x=0,1. In the TTF, a unique polynomial P∈P2n−1 is constructed to approximate f for every point x∈0,1, Convergence analysis In this section, the convergence of the ...