our newspaper; this newspaper
Humble (kenjougo) term used by a newspaper to refer to itself when addressing readers or other parties. Not used in ordinary conversation.
Thank you for reading our newspaper's article.
Our newspaper will continue to investigate this issue.
本紙 is the neutral way a newspaper refers to itself, while 弊紙 is the humble form used in formal writing to lower the paper's own standing.
Compound of 弊 (humble prefix for 'our') and 紙 (paper/newspaper).