A journey into convexity

Abstract

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.

Notes

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Thesis Completion

1997

Semester

Spring

Advisor

Mohapatra, Ram N.

Degree

Bachelor of Science (B.S.)

College

College of Arts and Sciences

Degree Program

Mathematics

Subjects

Arts and Sciences -- Dissertations, Academic;Dissertations, Academic -- Arts and Sciences

Format

Print

Identifier

DP0021448

Language

English

Access Status

Open Access

Length of Campus-only Access

None

Document Type

Honors in the Major Thesis

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