A journey into convexity
Convexity is an important concept in optimization of functionals, and therefore in economics, in operation research, in physics, etc.. In this thesis we study this concept and some of the topics where convexity is applied. We study the geometry of convex sets, applications and properties of convex functions, and related inequalities. We also study integrability theorems of Askey, Leindler, Heywood, and Askey and Karlin and generalize some of the theorems of Askey and Karlin using Jensen's inequality. Our result shows inclusion between Euler and Borel sequence spaces.
This item is only available in print in the UCF Libraries. If this is your thesis or dissertation, you can help us make it available online for use by researchers around the world by downloading and filling out the Internet Distribution Consent Agreement. You may also contact the project coordinator Kerri Bottorff for more information.
Mohapatra, Ram N.
Bachelor of Science (B.S.)
College of Arts and Sciences
Arts and Sciences -- Dissertations, Academic;Dissertations, Academic -- Arts and Sciences
Length of Campus-only Access
Honors in the Major Thesis
Carley, Holly K., "A journey into convexity" (1997). HIM 1990-2015. 74.