On fractional biparameterized Newton-type inequalities
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Inequalities and Applications
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.
Description
122 (2023)
https://doi.org/10.1186/s13660-023-03033-w
Keywords
Newton-type inequalities, α-convex functions, Riemann–Liouville operators, Biparameterized identity, Hölder and power mean inequalities