New Inequalities for Differentiable Mappings via Fractional Integral Operators
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5834Keywords:
Riemann-Liouville integrals; H\"older's inequality; Integral inequality; $(\rho, s, m)$-convex functions.Abstract
In this study, explicit bounds for the midpoint type inequalities for functions whose twice differentiable in absolute value raised to positive real powers are $(\rho, s)$ and $(\rho, s, m)$-convexities are explored through the integral fractional operator. Several estimate for special functions including Euler gamma, incomplete Beta and hypergeometric functions are presented in the study.
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