Some New Local Fractional Newton-type Inequalities
DOI:
https://doi.org/10.63286/jima.008Keywords:
Fractal sets, Newton-type inequalities , generalized Hölder inequality, generalized power mean inequalityAbstract
In this study, we present a novel identity based on local fractional integrals, which forms the basis for deriving a series of new Newton-type inequalities for functions whose local fractional derivatives demonstrate generalized convexity. Additionally, we establish further results by employing the generalized Hölder inequality, the generalized power mean inequality, and an improved version of the generalized power mean inequality, along with another result for local fractional differentiable concave functions. To substantiate our theoretical findings, we include several practical applications that highlight the effectiveness and applicability of the derived results.
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Copyright (c) 2025 Badreddine Meftah, Djaber Benchettah, Abdelghani Lakhdari
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