@article{Altay2022, 
author = {Bilal Altay and Francisco Javier García-Pacheco and Ramazan Kama},
title = {On    f-strongly Cesàro and    f-statistical derivable functions},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {11276-11291},
keywords = {statistical convergence, f-statistical convergence, Cesàro convergence, strongly Cesàro convergence, discrete derivative},
url = {https://www.sciopen.com/article/10.3934/math.2022629},
doi = {10.3934/math.2022629},
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 Cesàro 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 Cesàro derivative is related to the strongly Cesàro derivative and to the    f-statistical derivative. Under suitable conditions of the modulus    f, several characterizations involving the previous concepts have been obtained.}
}