Generalization of the classical derivative function at a point and its application

• Date: 2020
• Author Affiliations: R.Yu. Osaulenko
• Keywords: keywords
• Main Authors: Osaulenko, R.Yu., Осауленко, Р.Ю.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/442
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In the paper one generalization of the derivative is considered which in some cases simplifies the study of a function on differentiability, nowhere differentiability, singularity, in particular, the differentiability of the Weierstrass’s function is studied, provided that ???????? < 1 an...