Abstract
Abel derivative of order \(k\) is introduced and the first order Abel derivative is studied. Using Abel derivative some monotonicity results are obtained.
Citation
S. Mitra. S. N. Mukhopadhyay. "Abel Derivative and Abel Continuity." Real Anal. Exchange 38 (1) 63 - 78, 2012/2013.
Information
Published: 2012/2013
First available in Project Euclid: 29 April 2013
zbMATH: 1273.26005
MathSciNet: MR3083198
Subjects:
Primary:
26A24
Secondary:
42A24
Keywords:
Abel continuity
,
Abel derivative
,
Abel summability
,
Fourier series
,
Monotonicity
Rights: Copyright © 2012 Michigan State University Press