New Simpson type inequalities for twice differentiable functions via generalized fractional integrals | Zendy

Xuexiao You | Zendy; Fatih Hezenci | Zendy; Hüseyin Budak | Zendy; Hasan Kara | Zendy

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New Simpson type inequalities for twice differentiable functions via generalized fractional integrals

Author(s) -

Xuexiao You,

Fatih Hezenci,

Hüseyin Budak,

Hasan Kara

Publication year - 2021

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.

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