Some parameterized Simpson-, midpoint-and trapezoid-type inequalities for generalized fractional integrals

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Tarih

2022

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Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that these results reduce to several new Simpson-, midpoint- and trapezoid-type inequalities. The results given in this study are the generalizations of results proved in several earlier papers.

Açıklama

Anahtar Kelimeler

Simpson's 1/3 Formula; Integral Inequalities; Fractional Calculus; Convex Functions, Hermite-Hadamard-Type; Differentiable Mappings; Convex Functions; Real Numbers

Kaynak

Journal of Inequalities and Applications

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

2022

Sayı

1

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