Abstract
In 1964 Salat presented a notion of asymptotic density of single dimensional subseries. Using this notion he presented a series of theorems similar to the following. If dn be a decreasing sequence such that lim infn ndn > 0 and let the subseries (x) = ?? k=1 ?k(x)dk of the series ?? k=1 dk be convergent, then p(x) = limn p(n,x)/n=0. Following Salat?s patten, we present a notion of double subseries and a natural variation of Salat?s theorem.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
