Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms fractional integral operators. Based on identity, some generalized Bullen-type inequalities are obtained by employing convexity properties. Concrete examples given to illustrate results, and correctness is confirmed graphical analysis. An analysis provided estimations bounds. According calculations, improved Hölder power mean give better upper-bound results than classical inequalities. Lastly, applications quadrature rules, modified Bessel digamma as well.