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Approximation of functions from Lp(w)b by matrix means of their Fourier series
Rate of approximation summability of Fourier series Lipschitz classes
2012/4/16
We formulate some special conditions for the integrable functions and moduli of continuity. We give the results on rate of approximation of such functions by matrix means of their Fourier series, wher...
Interval matrix differential equations
matrix differential equation interval matrix exponential of an interval matrix continuous time imprecise Markov chain
2012/4/18
The matrix differential equation $x'(t) = Q(t)x(t), x(0) = x_0$ is considered in the case where $Q(t)$ is an unspecified matrix function of time, with the only constraint that $Q(t)\in \mset$ for ever...
Bidifferential calculus, matrix SIT and sine-Gordon equations
Bidifferential calculus matrix SIT sine-Gordon equations
2010/11/10
We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by application of a genera...
