Mathematical Inequalities Involving Fibonacci Numbers
School Name
Governor's School for Science and Mathematics
Grade Level
12th Grade
Presentation Topic
Mathematics
Presentation Type
Mentored
Abstract
Various Fibonacci proofs, identities, and inequalities were proved by different means such as graphical analysis using calculus, Arithmetic Mean - Geometric Mean inequality (AM-GM), Jensen’s inequality, and mathematical induction. This was done as a means to assist in the understanding of patterns and sequences and how they establish bounds on values of convergent sequences.
Recommended Citation
Bynum, Brittany, "Mathematical Inequalities Involving Fibonacci Numbers" (2018). South Carolina Junior Academy of Science. 62.
https://scholarexchange.furman.edu/scjas/2018/all/62
Location
Neville 206
Start Date
4-14-2018 11:30 AM
Presentation Format
Oral and Written
Mathematical Inequalities Involving Fibonacci Numbers
Neville 206
Various Fibonacci proofs, identities, and inequalities were proved by different means such as graphical analysis using calculus, Arithmetic Mean - Geometric Mean inequality (AM-GM), Jensen’s inequality, and mathematical induction. This was done as a means to assist in the understanding of patterns and sequences and how they establish bounds on values of convergent sequences.
