THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS

摘要

Applying the local fractional integrals, a generalized identity involving the local second-order differentiable mappings is first developed in this paper. A series of fractal integral inequalities pertaining to Simpson type, for the mappings whose local second-order derivatives are generalized (s, P)-convex in absolute value at some power, are then deduced by the discovered identity. Finally, from an application perspective, a range of fractal outcomes with regard to beta-type special means, Simpson numerical integrations, midpoint numerical integrations and wave equations are presented, correspondingly.

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