Generalizations of some important fractional integral inequalities by using a parameter

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Tarih

2024

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Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In the present paper, we first prove an equality for the functions whose second derivatives in absolute value are convex. By using this equality we obtain some parameterized inequalities for twice differentiable functions by using generalized fractional integrals. Finally, we show that our main results reduce to trapezoid, midpoint, and Simpson- and Bullen-type inequalities proved in earlier papers. © 2024 Elsevier B.V., All rights reserved.

Açıklama

Anahtar Kelimeler

Bullen-type Inequalities, Generalized Fractional Integrals, Midpoint Inequalities, Simpson-type Inequalities, Trapezoid Inequalities, Twice Differentiable Functions

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