Two Problems on Convex Functions

Two Problems on Convex Functions

Given a positive continuous increasing function f(x) , 0 ≤ x < 1, approximations by a convex function g(x) from below and from above are considered. The approximation is measured by the ratio of the integrals

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Bibliographische Detailangaben
Veröffentlicht in:Mathematical gazette 1965-02, Vol.49 (367), p.66-69
Hauptverfasser: Besicovitch, A. S., Davies, Roy O.
Format: Artikel
Sprache:eng
Schlagworte:
Circles
Conic sections
Differential equations
Mathematical functions
Mathematical theorems
Particular solutions
Rectangles
Vertices
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Beschreibung
Zusammenfassung:Given a positive continuous increasing function f(x) , 0 ≤ x < 1, approximations by a convex function g(x) from below and from above are considered. The approximation is measured by the ratio of the integrals
ISSN:0025-5572
2056-6328
DOI:10.2307/3614241