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2019 Verifying Differentiability Without Calculating the Derivative
Steven G. Krantz
Real Anal. Exchange 44(2): 403-426 (2019). DOI: 10.14321/realanalexch.44.2.0403

Abstract

We study various real-variable techniques for determining whether a function is differentiable without actually calculating a derivative. These include:

  • approximation theory \item Fourier analysis

  • Sobolev spaces \item Poisson integral

  • finite differences

  • Campanato-Morrey theory

  • Landau's inequalities

In most cases complete proofs are given.

Citation

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Steven G. Krantz. "Verifying Differentiability Without Calculating the Derivative." Real Anal. Exchange 44 (2) 403 - 426, 2019. https://doi.org/10.14321/realanalexch.44.2.0403

Information

Published: 2019
First available in Project Euclid: 1 May 2020

zbMATH: 07211599
Digital Object Identifier: 10.14321/realanalexch.44.2.0403

Subjects:
Primary: 26A24

Rights: Copyright © 2019 Michigan State University Press

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Vol.44 • No. 2 • 2019
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