RT journal article
T1 On f-strongly Cesàro and f-statistical derivable functions
A1 Altay, Bilal
A1 García Pacheco, Francisco Javier
A2 Matemáticas
K1 statistical convergence
K1 f -statistical convergence
K1 Cesàro convergence
K1 strongly Cesàro convergence
K1 discrete derivative
AB 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.
PB AMER INST MATHEMATICAL SCIENCES-AIMS
SN 2473-6988
YR 2022
FD 2022
LK http://hdl.handle.net/10498/26993
UL http://hdl.handle.net/10498/26993
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026