University of the Fraser Valley

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20042011

most citedThe Vector Analyzing Power in Elastic Electron-Nucleus Scattering

33 citations

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math.CA2011

Fourier series with the continuous primitive integral

Erik Talvila

Fourier series are considered on the one-dimensional torus for the space of periodic distributions that are the distributional derivative of a continuous function. This space of di…

math.CA2009

Convolutions with the continuous primitive integral

Erik Talvila

If $F$ is a continuous function on the real line and $f = F^{'}$ is its distributional derivative then the continuous primitive integral of distribution $f$ is $\int_{a}^{b} f = F (b) - F (a)$ . Th…

math.CA2004

Estimates of the remainder in Taylor's theorem using the Henstock--Kurzweil integral

Erik Talvila

When a real-valued function of one variable is approximated by its $n^{t h}$ degree Taylor polynomial, the remainder is estimated using the Alexiewicz and Lebesgue $p$ -norms in case…