New Modifications of Integral Inequalities via P-Convexity Pertaining to Fractional Calculus and Their Applications

Integral inequalities for P-convex functions are established by using a generalised fractional integral operator based on Raina's function. Hermite-Hadamard type inequality is presented for P-convex functions via generalised fractional integral operator. A novel parameterized auxiliary identity involving generalised fractional integral is proposed for differentiable mappings. By using auxiliary identity, we derive several Ostrowski type inequalities for functions whose absolute values are P-convex mappings. It is presented that the obtained outcomes exhibit classical convex and harmonically convex functions which have been verified using Riemann-Liouville fractional integral. Several generalisations and special cases are carried out to verify the robustness and efficiency of the suggested scheme in matrices and Fox-Wright generalised hypergeometric functions.