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2015
It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.
In this paper we consider the series with respect to multiplicative systems Σk=1∞ bkxk(x) with non-negative coefficients tending to zero, quasi-monotone coefficients and coefficients of class R0+BV S.It is shown, that there exists the sum f (x) for such series on [0, 1]. We study the problem of integrability of weighted sums of the series. Sufficient conditions to weighted function φ(x) for which φ(x) f (x) ∈ L[0, 1) and φ(x) f (x) ∈ Lp[0, 1), 1 < p < ∞ are found.