Open AccessNew Simpson type inequalities for twice differentiable functions via generalized fractional integrals
Author(s) -
XiaoZeng You,
AUTHOR_ID,
Fatih Hezenci,
Hüseyın Budak,
Hasan Kara,
AUTHOR_ID
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.2022218
Subject(s) - differentiable function , mathematics , convex function , type (biology) , pure mathematics , inequality , regular polygon , mathematical analysis , geometry , ecology , biology
Fractional versions of Simpson inequalities for differentiable convex functions are extensively researched. However, Simpson type inequalities for twice differentiable functions are also investigated slightly. Hence, we establish a new identity for twice differentiable functions. Furthermore, by utilizing generalized fractional integrals, we prove several Simpson type inequalities for functions whose second derivatives in absolute value are convex.