Abstract
Schwarz gradients and differentiability are introduced for functions of two variables. It is proved that for the Schwarz differentiability the existence of a generalized angular Schwarz gradient is necessary and sufficient. An alternative necessary and sufficient condition and a sufficient condition are established.
Citation
Omar Dzagnidze. Irma Tsivtsivadze. "Schwarz Gradients and Differentiability for Functions of Two Variables." Real Anal. Exchange 49 (1) 155 - 174, 2024. https://doi.org/10.14321/realanalexch.49.1.1685750461
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