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

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Tarih

2022

Dergi Başlığı

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Yayıncı

Amer Inst Mathematical Sciences-Aims

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Simpson Type Inequalities; Generalized Fractional Integrals; Convex Functions, Hadamard-Type Inequalities; Convex-Functions

Kaynak

Aims Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

7

Sayı

3

Künye