Aleksandar S. Cvetkovic

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A generalized N-point Birkhoff – Young quadrature of interpolatory type , with the Cheby-shev weight , for numerical integration of analytic functions is considered. The nodes of such a quadrature are characterized by an orthogonality relation. Some special cases of this quadrature formula are derived. For numerical integration over a line segment in the(More)
In this paper, we develop the theory of so-called nonstandard Gaussian quadra-ture formulae based on operator values for a general family of linear operators, acting of the space of algebraic polynomials, such that the degrees of polynomials are preserved. Also, we propose a stable numerical algorithm for constructing such quadrature formulae. In particular(More)
Interval quadrature formulae of Gaussian type on R and R + for exponential weight functions of the form w(x) = exp(−Q(x)), where Q is a continuous function on its domain and such that all algebraic polynomials are integrable with respect to w, are considered. For a given set of nonoverlapping intervals and an arbitrary n, the uniqueness of the n-point(More)