Open AccessGeneralized Derivative and Generalized Continuity
Author(s) -
Ivan Kupka
Publication year - 2019
Publication title -
tatra mountains mathematical publications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.171
H-Index - 12
eISSN - 1338-9750
pISSN - 1210-3195
DOI - 10.2478/tmmp-2019-0021
Subject(s) - mathematics , generalized function , modulus of continuity , generalized linear array model , derivative (finance) , range (aeronautics) , generalized inverse , absolute continuity , calculus (dental) , pure mathematics , mathematical analysis , type (biology) , generalized linear mixed model , geometry , inverse , medicine , ecology , materials science , dentistry , financial economics , economics , composite material , biology
The main objective of this article is to show that generalized differentiation can be understood as a process of comparing functions and their generalized continuity properties. We show it by working with generalized notions of derivative and continuity. The article covers wide range of types of generalized continuity.