New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator

نویسندگان

چکیده

In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type via new fractional integral operator associated with the Caputo–Fabrizio derivative are presented. Furthermore, identity for differentiable convex functions of first order is proved. Then, taking into account as an auxiliary result assistance Hölder, power-mean, Young, Jensen inequality, some estimations Hermite-Hadamard (H-H) type refinements Applications to special means trapezoidal quadrature formula presented verify accuracy results. Finally, brief conclusion future scopes discussed.

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ژورنال

عنوان ژورنال: Fractal and fractional

سال: 2022

ISSN: ['2504-3110']

DOI: https://doi.org/10.3390/fractalfract6030171