Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients

KS Berenhaut, EE Allen… - Discrete Dynamics in …, 2006 - Wiley Online Library
This paper studies reciprocals of formal power series whose coefficients are monotone and
bounded by a geometrically decaying sequence. Explicit and applicable, optimal decay …

[PDF][PDF] Maximization for inner products under quasi-monotone constraints

KS Berenhaut, JD Foley… - Journal of Inequalities …, 2006 - kurims.kyoto-u.ac.jp
This paper studies optimization for inner products of real vectors assuming monotonicity
properties for the entries in one of the vectors. Resulting inequalities have been useful …

[PDF][PDF] Recursive sequences of the form yn= anyn− 1+ yn− 2 with integer coefficients

KS Berenhaut, AB O'Keefe… - Indian Journal of …, 2006 - researchgate.net
Recursive sequences of the form yn = anyn−1 + yn−3 with integer coefficients Page 1
Recursive sequences of the form yn = anyn−1 + yn−3 with integer coefficients Kenneth S …

[PDF][PDF] Inequalities for reciprocals of power series with restricted coefficients

KS Berenhaut, ZJ Abernathy, YW Fan… - Advances in Inequalities …, 2008 - Citeseer
This paper surveys several recent results related to inequalities for coefficients of reciprocals
of power series under varying restrictions on the coefficients of the original series. The main …

[PDF][PDF] Bounds for Recurrences on Ranked Posets

KS Berenhaut, AB O'Keefe, F Saidak - Int. J. Contemp. Math …, 2007 - libres.uncg.edu
This note considers an extension of the concept of linear recurrence to recurrences on
ranked posets. Some results on growth rates in the linear case are then extended to this …