Enhanced bounds for Riemann-Liouville fractional integrals: Novel variations of Milne inequalities Article Swipe
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Hüseyin Budak
,
Abd‐Allah Hyder
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3934/math.20231572
· OA: W4388677197
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3934/math.20231572
· OA: W4388677197
<abstract><p>In this research article, we present novel extensions of Milne type inequalities to the realm of Riemann-Liouville fractional integrals. Our approach involves exploring significant functional classes, including convex functions, bounded functions, Lipschitzian functions and functions of bounded variation. To accomplish our objective, we begin by establishing a crucial identity for differentiable functions. Leveraging this identity, we subsequently derive new variations of fractional Milne inequalities.</p></abstract>
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