Abstract: In this paper we derive formulæ for composite numerical fractional integration and differentiation that are “polynomial accurate” in the sense that when applied to polynomials of a given ...

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

To integrate the product of a polynomial and a function, apply term-by-term integration using techniques like integration by parts. For a polynomial $$ P(x) = a_nx^n + \dots + a_1x + a_0 $$ and ...

Abstract: In this note, singular integration problems of the form equation where equation and fixed point equation is considered. The density function h(x, y) is assumed given, continuous and smooth ...

Now that function-theory is fairly well developed, it is much easier than it used to be to discuss in an orderly way the elementary problems of explicit integration. By showing how this can be done, ...

This Research Area aims at creation of next-generation nanosystems that produce novel functions by promoting evolution and integration of top-down processes such as photolithography and bottom-up ...

Exploration of new functional materials are pursued on the basis of fine integration and assembly of functional groups on the chiral helical macromolecules, which can be regarded as nanoscale chiral ...

The Polynomial Calculator is a user-friendly application designed to perform various mathematical operations on polynomials. This application supports operations such as addition, subtraction, ...

The Journal of the Operational Research Society, Vol. 36, No. 10 (Oct., 1985), pp. 951-957 (7 pages) The choice of an audit sample involves integration of diverse goals. Such integration must consider ...