Vol. 36, No. 1, 1971

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A criterion for n-convexity

Peter Southcott Bullen

Vol. 36 (1971), No. 1, 81–98
Abstract

The development of the Pn-integral of R. D. James and W. H. Gage is based on certain properties of n-convex functions. In order to develop this integral systematically a more detailed study of n-convex functions is needed. In the second section of this paper various derivatives are defined and some of their properties given; in the third and last sections properties of n-convex functions are developed.

Mathematical Subject Classification
Primary: 26.52
Milestones
Received: 19 January 1970
Published: 1 January 1971
Authors
Peter Southcott Bullen