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On fractional biparameterized Newton-type inequalities

Article scientifique 2023 Anglais

Résumé

Abstract In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.

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Saleh, W., Lakhdari, A., Abdeljawad, T., Meftah, B. (2023). On fractional biparameterized Newton-type inequalities. https://doi.org/10.1186/s13660-023-03033-w

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