Open Access
2001/2002 On a Concave Differentiable Majorant of a Modulus of Continuity
A. V. Medvedev
Real Anal. Exchange 27(1): 123-130 (2001/2002).


In this paper we prove that for any modulus of continuity on $[0,\infty)$ there exists a concave majorant that is infinitely differentiable on $(0,\infty)$ and satisfies an additional inequality. This extends the results of Stechkin and Korneychuk obtained previously without the requirement that majorants be differentiable.


Download Citation

A. V. Medvedev. "On a Concave Differentiable Majorant of a Modulus of Continuity." Real Anal. Exchange 27 (1) 123 - 130, 2001/2002.


Published: 2001/2002
First available in Project Euclid: 6 June 2008

zbMATH: 1012.26003
MathSciNet: MR1887686

Primary: 26A15

Keywords: Concave , majorant , modulus of continuity

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 1 • 2001/2002
Back to Top