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\iteman{ZMATH 2015f.00833}
\itemau{Nanyes, Ollie}
\itemti{Continuously differentiable curves detect limits of functions of two variables.}
\itemso{Coll. Math. J. 45, No. 1, 54-56 (2014).}
\itemab
Summary: We present a result of Rosenthal, which shows that if a two-variable function has the same limit when evaluated over the graph of every convex function (in one variable or the other) with continuous first derivative, then the two-variable function is continuous. We give a new method of constructing the ``testing curves'' by using complex splines.
\itemrv{~}
\itemcc{I65 I55}
\itemut{two-variable functions; continuous differentiable curves; splines}
\itemli{doi:10.4169/college.math.j.45.1.054}
\end