We establish new inequalities of generalized Ostrowski- and Ostrowski–Grüss-type on fractal sets. They depend on a new generalized Montgomery identity on fractal sets and a parameter function h:[0,1]→[0,1]. Our results not only give an error estimate for Γ(1+α)(b−a)αaIbαf(t) with f(x), f(a) and f(b), but also generalize and extend previous results of Sarikaya, Budak and coauthors. We give applications to two-point and three-point quadrature formulas.
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Haidong Liu (2024) studied this question.
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