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Almost Convergence and Well-Distributed Sequences
Published online by Cambridge University Press: 20 November 2018
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A sequence (xn) of real numbers is said to be well-distributed modulo 1 (abbreviated w.d.) if for each subinterval I = [a, b] of [0, 1] we have that
where χI is the characteristic function of I modulo 1. A sequence (r n ) of positive numbers is lacunary if
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- Copyright © Canadian Mathematical Society 1968
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