Results 31 to 40 of about 5,337 (195)
We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional.
Gorana Aras-Gazic +2 more
doaj +1 more source
The methods that use memory using accelerating parameters for computing multiple roots are almost non-existent in the literature. Furthermore, the only paper available in this direction showed an increase in the order of convergence of 0.5 from the ...
G Thangkhenpau +3 more
doaj +1 more source
Generalizations of Ostrowski type inequalities via Hermite polynomials
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić +2 more
doaj +1 more source
Discontinuous collocation methods and gravitational self-force applications
Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole perturbation ...
Barack, Leor +3 more
core +1 more source
Efectos de variables reales y financieras en la curva de rendimiento de los bonos soberanos en soles
Objetivo: Analizar los efectos de las variables reales y financieras en la curva de rendimiento de los bonos soberanos en soles para el periodo enero 2008-setiembre 2022.
Albert Farith Chávarri Balladares +1 more
doaj +1 more source
Hermite and Hermite–Fejér interpolation for Stieltjes polynomials [PDF]
Let w λ ( x ) := ( 1 − x 2 ) λ − 1 / 2 w_{\lambda }(x):=(1-x^2)^{\lambda -1/2} and
openaire +2 more sources
Interpolation of SUSY quantum mechanics [PDF]
Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics $H_s=(1-s)A^{\dagger}A + sAA^{\dagger}$, $0\le s\le 1$ is discussed together with related operators.
Andrews G E +7 more
core +6 more sources
We propose a novel method to calculate the electromagnetic (EM) wave propagation from low-earth orbit satellite (LEO) to a ground station based on the physical optics (PO), ray tracing technique, and geometric optics (GO) considering interpolated ...
Changseong Kim +2 more
doaj +1 more source
Matrix expression of hermite interpolation polynomials
Matrix expression of the Hermite interpolation polynomials are constructed, in the form \(H(x)= \sum^n_{i=0} \sum^{d_i}_{k=0} h_{ik} (x){f^{(k)} (x_i) \over k!}\), satisfying the conditions \(H^{(\ell)} (x_j)= f^{(\ell)} (x_j)\), \(j=0, \dots,n\); \(\ell=0, \dots d_j\) where \(f\in C^d [a,b]\), \(a\leq ...
Kida, S., Trimandalawati, E., Ogawa, S.
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Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials [PDF]
Summary: Let \(w_\lambda(x):=(1-x^2)^{\lambda-1/2}\) and \(P_{\lambda,n}\) be the ultraspherical polynomials with respect to \(w_{\lambda}(x)\). Then, we denote the Stieltjes polynomials \(E_{\lambda,n+1}\) with respect to \(w_{\lambda}(x)\) satisfying \(\int_{-1}^1w_{\lambda}(x) P_{\lambda,n}(x)E_{\lambda,n+1}(x) x^m dx (=0, 0\leq m< n+1;\neq 0,m=n+1)\
Jung, Hee Sun, Sakai, Ryozi
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