On Second-Family Radau-type Inequalities
DOI:
https://doi.org/10.63286/jima.025Keywords:
Radau-type inequalities, convex functions, Hölder inequality, Young inequality, power mean inequalityAbstract
In this paper, we establish a new integral identity and derive novel Radau-type integral inequalities for functions whose first derivatives are convex. These results extend and generalize some existing inequalities of Radau type in the literature. As an application, we provide bounds for certain mathematical means based on the obtained inequalities. We believe that the findings presented here will stimulate further research into integral inequalities and their applications in related fields.
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Copyright (c) 2025 Abdelghani Lakhdari, Wedad Saleh, Badreddine Meftah
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