Generalized vs. ordinary differentiation
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- by J. Marshall Ash, Stefan Catoiu and Marianna Csörnyei PDF
- Proc. Amer. Math. Soc. 145 (2017), 1553-1565 Request permission
Abstract:
There are difference quotients distinct from $\displaystyle \frac {f(x+h)-f(x)}h$ which characterize differentiability. We find all of them.References
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Additional Information
- J. Marshall Ash
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614
- MR Author ID: 27660
- Email: mash@depaul.edu
- Stefan Catoiu
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614
- MR Author ID: 632038
- Email: scatoiu@depaul.edu
- Marianna Csörnyei
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- Email: csornyei@math.uchicago.edu
- Received by editor(s): March 17, 2016
- Published electronically: December 15, 2016
- Additional Notes: The second author’s research was partially supported by a 2014 Summer Research Grant from the Faculty and Development Program at DePaul University, College of Science and Health.
- Communicated by: Alexander Iosevich
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1553-1565
- MSC (2010): Primary 26A24; Secondary 15A06, 26A27
- DOI: https://doi.org/10.1090/proc/13224
- MathSciNet review: 3601547