Abstract
In this paper, we establish an fractional identity. Using this new identity we derives some fractional Ostrowski’s inequalities for functions whose first derivatives are s-preinvex in the second sense.
Highlights
Theorem 1.2. [5, Theorem 2.2] Let A ⊆ R be an open invex subset with respect to η : A × A → R and a, b ∈ A with a < a + η(b, a)
Theorem 1.3. [5, Theorem 2.8] Let A ⊆ R be an open invex subset with respect to η : A × A → R and a, b ∈ A with a < a + η(b, a)
Theorem 1.6. [18, Theorem 3.1] Let A ⊆ R be an open invex subset with respect to η : A × A → R and let f : A → R be a differentiable function
Summary
[5, Theorem 2.8] Let A ⊆ R be an open invex subset with respect to η : A × A → R and a, b ∈ A with a < a + η(b, a). Kirmaci [7] established the following midpoint inequalities for differentiable convex functions
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