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2022
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.
For $$ 1<p,q<\infty $$ , we find necessary and sufficient conditions for the validity of a discrete Hardy-type inequality $$ \left (\sum \limits _{n=1}^{\infty }|(Af)_n|^q\right )^{\frac {1}{q}} \le C\left (\sum \limits _{k=1}^{\infty }|f_k|^p\right )^{\frac {1}{p}}$$ for a class of matrix operators of the form $$(Af)_n=\sum \limits _{k=1}^{n}a_{n,k}f_k $$ , where $$n\ge 1 $$ .