3 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
Analyzing a Seneta's conjecture by using the Williamson transform
Edward Omey, Meitner Cadena
Considering slowly varying functions (SVF), Seneta in 2019 conjectured the following implication, for , $$ \int_0^x y^{α-1}(1-F(y))dy\textrm{ is SVF}\ \Longrightarrow\ \int…
A new test for convergence of positive series
Vyacheslav Abramov, Meitner Cadena, Edward Omey
The paper provides a new test of convergence and divergence of positive series. In particular, it extends the known test by Margaret Martin [%\emph{Bull. Amer. Math. Soc.} \textbf{…
New results on the order of functions at infinity
Meitner Cadena, Marie Kratz, Edward Omey
Recently, new classes of positive and measurable functions, and , have been defined in terms of their asymptotic behaviour at infinity, wh…
Revisiting extensions of regularly varying functions
Meitner Cadena
Relationships among the classes , , and and the class of \emph{O}-regularly varying functions are shown. These results are based on…