Inequalities involving derivatives

Raymond Moos Redheffer and Wolfgang V. Walter

Vol. 85 (1979), No. 1, 165–178

DOI: 10.2140/pjm.1979.85.165

Abstract

This paper deals with generalizations of classical results on real-valued functions of a real variable which are of the following type: Bounds for the function and for its m-th derivative imply bounds for the k-th derivative 0 < k < m. Our theorems extend these results in various directions, the most important being the extension to functions of n variables.

Mathematical Subject Classification 2000

Primary: 26D10

Milestones

Received: 17 July 1978

Published: 1 November 1979