New Fractal Estimates of Bullen and Related Inequalities

Abstract

In this thesis, we talk about Bullen type inequality. These new results yield us some gen- eralizations of the prior results. We establish some related results for a generalized convex function and give comparison on a real linear fractal set Rαµ ( 0 < αµ ≤ 1). We establish a new Lemma comprising local fractional integrals. By utilizing this Lemma, we get mul- tiple results related to integral inequalities of generalized Ostrowski-Mercer type for local differentiable generalized harmonically convex functions in fractal sense.