Apr 30, 2020 · Title:Higher convexity and iterated sum sets ... Abstract:Let f be a smooth real function with strictly monotone first k derivatives. We show that ...

Aug 31, 2021 · We deduce several new sum-product type implications, e.g. that A+A being small implies unbounded growth for a many enough times iterated product ...

Title:Higher convexity and iterated sum sets. Authors:Brandon Hanson, Oliver Roche-Newton, Misha Rudnev. View a PDF of the paper titled Higher convexity and ...

For an interval I, we say f : I → R is 0-convex function if it is strictly monotone on I, and in general, f is k-convex on I if each of the derivatives f(1),f(2) ...

Higher convexity and iterated sum sets ... Abstract. Let $f$ be a smooth real function with strictly monotone first $k$ derivatives. We show that for a finite set ...

Feb 1, 2022 · We deduce several new sum-product type implications, e.g. that A+A being small implies unbounded growth for a many enough times iterated product ...

HIGHER CONVEXITY AND ITERATED SUMSETS. MISHA RUDNEV. Let f be a smooth real function with strictly monotone first k derivatives. We show that for a finite set ...

We deduce several new sum-product type implications, e.g. that A + A A+A being small implies unbounded growth for a many enough times iterated product set A ⋯ ...

Download Citation | Higher Convexity and Iterated Sum Sets | Let f be a smooth real function with strictly monotone first k derivatives.

As an application of our new estimates for k>2 k > 2 we improve the best known bounds for sumsets of convex sets under additional convexity assumptions. PDF.