*Article* **Unifying Aspects of Generalized Calculus**

## **Marek Czachor**

Wydział Fizyki Technicznej i Matematyki Stosowanej, Politechnika Gda ´nska, 80-233 Gda ´nsk, Poland; mczachor@pg.edu.pl

Received: 28 September 2020; Accepted: 17 October 2020; Published: 19 October 2020

**Abstract:** Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory. The formalism, being very general, is as simple as the calculus we know from undergraduate courses of mathematics. Its theoretical potential is huge, and yet it remains unknown or unappreciated.

**Keywords:** non-Newtonian calculus; non-Diophantine arithmetic; Kolmogorov–Nagumo averages; escort probabilities; generalized entropies
