NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS

The purpose of this paper is to provide novel estimates of Ostrowski-type inequalities in a much simpler and shorter way of some recent significant results in the context of a fractal set Double-struck capital R-(alpha) over tilde. By using our new approach, we established an auxiliary result that correlates with generalized convex (GC) and concave functions for absolutely continuous functions with second-order local differentiable mappings. Moreover, we derived some companions of Ostrowski-type inequalities belonging to V-(2 (alpha) over tilde) is an element of L (infinity)[s(1), s(2)], V-(2 (alpha) over tilde) is an element of L-p[s(1), s(2)] and V-(2 (alpha) over tilde) is an element of L-1[s(1), s(2)] in local fractional sense. Our results generalize and offer better bounds than many known results in the existing literature associated with trapezoidal and midpoint formula. As an application perspective, we derived several estimation-type outcomes by the use of generalized (alpha) over tilde -type special means formula provided here to illustrate the usability of the obtained results. Our study contributes to a better understanding of fractal analysis and proves beneficial in exploring real-world phenomena.