Integral Inequalities for Twice Differentiable Functions by Novel Fractional Operator
DOI:
https://doi.org/10.22105/kmisj.v2i1.123Keywords:
Hermite-Hadamard inequality, Convex functions, Integral inequalities, Extended weighted fractional integralAbstract
This paper presents new integral inequalities for twice differentiable (Λ, δ)-convex functions involving extended weighted fractional integrals. By leveraging a fundamental identity and employing Hölder, Power mean and Young inequalities under various convexity conditions on the derivative, we generalize and refine Hermite-Hadamard type inequalities. Applications to Riemann-Liouville, Caputo-Fabrizio and Atangana-Baleanu fractional integral operators demonstrate the broad applicability of the results.
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