Convergence in measure of logarithmic means of quadratical partial sums of double walsh–fourier series AbstractThe main aim of this paper is to prove that the logarithmic means of quadratical partial sums of the double Walsh–Fourier series does not improve the convergence in measure....
Pointwise i-convergence and i-convergence in measure of sequences of functions ... Basing upon this notion we define pointwise I-convergence and I-convergence in measure of sequences of measurable functions defined on a measure space with finite measure....
Convergence in measure with respect to a matrix-valued measure and some matrix completion problems AbstractFor a matrix-valued measure M we introduce a notion of convergence in measure M, which generalizes the notion of convergence in measure with respect to a scalar measure and takes into account the matrix structure of M....
On p-convergence in measure of a sequence of measurable functionsIn the study by Papanastassiou and Papachristodoulos, 2009 the notion of p-convergence in measure was introduced....