Date of Award

Summer 1989

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics and Statistics

Program/Concentration

Computational and Applied Mathematics

Committee Director

S. E. Weinstein

Committee Member

M. Bartelt

Committee Member

John Swetits

Committee Member

Hideaki Kaneko

Abstract

This is a study of best approximation with certain geometric constraints. Two major problem areas are considered: best Lp approximation to a function in Lp (0,1) by convex functions, (m, n)-convex functions, (m, n)-convex functions and (m, n)-convex splines, for 1 < p < ∞ , and best uniform approximation to a continuous function by convex functions, quasi-convex functions and piecewise monotone functions.

DOI

10.25777/rk24-4r68

Included in

Mathematics Commons

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