@misc{10498/26993,
year = {2022},
url = {http://hdl.handle.net/10498/26993},
abstract = {In this manuscript, we introduce the following novel concepts for real functions related to f-convergence and f-statistical convergence: f-statistical continuity, f-statistical derivative, and f-strongly Cesaro derivative. In the first subsection of original results, the f-statistical continuity is related to continuity. In the second subsection, the f-statistical derivative is related to the derivative. In the third and final subsection of results, the f-strongly Cesaro derivative is related to the strongly Cesaro derivative and to the f-statistical derivative. Under suitable conditions of the modulus f, several characterizations involving the previous concepts have been obtained.},
organization = {The second author has been partially supported by Research Grant PGC-101514-B-I00 awarded by the Ministry of Science, Innovation and Universities of Spain. This work has also been co-financed by the 2014-2020 ERDF Operational Programme and by the Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia, under Project Reference FEDERUCA18-105867. The APC has been paid by the Department of Mathematics of the University of Cadiz.},
publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS},
keywords = {statistical convergence},
keywords = {f -statistical convergence},
keywords = {Cesàro convergence},
keywords = {strongly Cesàro convergence},
keywords = {discrete derivative},
title = {On f-strongly Cesàro and f-statistical derivable functions},
doi = {10.3934/math.2022629},
author = {Altay, Bilal and García Pacheco, Francisco Javier},
}