Open AccessOn $ f $-strongly Cesàro and $ f $-statistical derivable functions
Author(s) -
Bilâl Altay,
Francisco Javier GarcíaPacheco,
Ramazan Kama
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022629
Subject(s) - derivative (finance) , convergence (economics) , statistical analysis , mathematics , modulus of continuity , statistical model , second derivative , combinatorics , mathematical analysis , statistics , type (biology) , geology , paleontology , financial economics , economics , economic growth
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.