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Fractional Milne-type inequalities by various function classes

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摘要 The manuscript's authors examine some Milne-type inequalities for various function classes.Firstly,some Milne-type inequalities are established for diferentiable convex functions by using Riemann-Liouville integrals.Secondly,we provide some fractional Milne-type inequalities for bounded functions by fractional integrals.Afterwards,we ofer several Milne-type inequalities for Lipschitzian functions.Likewise,we ofers Milne-type inequalities by fractional integrals of bounded variation.Finally,we demonstrate the correctness of our results by using special cases and examples of the obtained theorems.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第4期916-936,共21页 高校应用数学学报(英文版)(B辑)
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