Error bound of certain Gaussian quadrature rules for trigonometric polynomials

In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples

Error bound of certain Gaussian quadrature rules for trigonometric polynomials

In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples

Leaching kinetics of Cs+ and Co2+ under dynamic conditions

The possibility of retaining Cs+ and Co2+ bound by immobilization processes in the cement matrix is defined as the subject of its investigation: the cement matrix formulation, the water/ cement ratio, the amount of waste, and the porosity of such a structure. Implementing the standard leaching method by Hespe the possibility of comparing different authors’ results was achieved. Diffusion and semi-empirical model were used to investigate the transport phenomenon in order to predict the leaching level for a long period of time. Leaching of Co2+ and Cs+ ions under dynamic conditions immobilized in the cement matrix dynamic conditions decreases with the increase of the sludge content, regarding porosity increase. The effects of the diffusion and surface washing are equalized, and the contribution ofthe matrix dissolution to the Cs + and Co2+ transport in the cement porous media increases, on average, for one order of magnitude. The semi-empirical model gives a better approximation for Co2+ and Cs+ leaching process for the duration ofthe experiment while both models significantly approximate leaching results in dynamic conditions. © 2019, Vinca Inst Nuclear Sci. All rights reserved

Synthesis of silver doped fluoroapatite as perspective filler for food package

Proceeding

Orthogonal Polynomials with Respect to Modified Jacobi Weight and Corresponding Quadrature Rules of Gaussian Type

In this paper we consider polynomials orthogonal with respect to the linear functional L : P -> C, defined on the space of all algebraic polynomials P by L[p] = integral(1)(-1)p(x)(1 - x)(alpha-1/2)(1 + x)(beta-1/2)exp(i zeta x)dx, where alpha, beta > 1/2 are real numbers such that l = vertical bar beta - alpha vertical bar is a positive integer, and zeta is an element of R\{0}. We prove the existence of such orthogonal polynomials for some pairs of alpha and zeta and for all nonnegative integers l. For such orthogonal polynomials we derive three-term recurrence relations and also some differential-difference relations. For such orthogonal polynomials the corresponding quadrature rules of Gaussian type are considered. Also, some numerical examples are included

Error estimates for some quadrature rules with maximal trigonometric degree of exactness

In this paper, we give error estimates for quadrature rules with maximal trigonometric degree of exactness with respect to an even weight function on (-,) for integrand analytic in a certain domain of complex plane

Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness

In this paper we give error estimates for quadrature rules with maximal trigonometric degree of exactness with respect to an even weight function on (-pi, pi) for integrand analytic in certain domain of complex plane

Error estimates for quadrature rules with maximal even trigonometric degree of exactness

In this paper an error estimate for quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes) for periodic integrand, analytic in a circular domain, is given. Theoretical estimate is illustrated by numerical example