• Honam Mathematical Journal
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• v.46 no.4
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• pp.657-676
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• 2024

In this study, we introduce a new bi-parameterized integral identity involving at most five points. Using this identity, we establish various integral inequalities for functions whose first derivatives belong to the spaces L^p with 1 ≤ p ≤ ∞. Several known results are recaptured. Applications are provided.

• Honam Mathematical Journal
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• v.44 no.3
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• pp.325-338
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• 2022

In this paper, a new identity is given. On the basis of this identity, we establish some new estimates of Milne's quadrature rule, for functions whose first derivative is s-convex. We discuss the cases where the derivatives are bounded as well as Lipschitzian. Some illustrative applications are given.