Transverse signal decay under the weak field approximation: Theory and validation
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DOI: 10.1002/mrm.27035
Abstract: To derive an expression for the transverse signal time course from systems in the motional narrowing regime, such as water diffusing in blood. This was validated in silico and experimentally with ex vivo blood samples. read more here.
Keywords: decay weak; signal decay; field approximation; transverse signal ... See more keywords
Pearson’s chi-squared statistics: approximation theory and beyond
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DOI: 10.1093/biomet/asz020
Abstract: We establish an approximation theory for Pearson’s chi-squared statistics in situations where the number of cells is large, by using a high-dimensional central limit theorem for quadratic forms of random vectors. Our high-dimensional central limit… read more here.
Keywords: chi squared; squared statistics; chi; approximation theory ... See more keywords
A Research Approximation to Generalized Riemann Derivatives by Integral Operator Families
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DOI: 10.11648/j.mcs.20180301.12
Abstract: Approximation theory has very important applications of polynomial approximation in various areas of functional analysis, Harmonic analysis, Fourier analysis, application mathematic, operator theory in the field generalized derivatives and numerical solutions of differential and integral… read more here.
Keywords: research; theory; approximation; analysis ... See more keywords
Approximation Theory and Related Applications
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DOI: 10.3390/axioms11120736
Abstract: The theory of approximation of functions is one of the central branches of mathematical analysis [...] read more here.
Keywords: theory; theory related; approximation theory; related applications ... See more keywords
A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
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DOI: 10.3390/math9161895
Abstract: In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots. We use a statistical convergence type and power series… read more here.
Keywords: theory summability; summability; link approximation; summability methods ... See more keywords