Some Inequalities for a New Class of Convex Functions with Applications via Local Fractional Integral

The understanding of inequalities in convexity is crucial for studying local fractional calculus efficiency many applied sciences. In the present work, we propose a new class harmonically convex functions, namely, generalized ψ - id="M2"> s -convex functions based on fractal set technique establishing Hermite-Hadamard type and certain related variants with respect to Raina’s function. With aid an auxiliary identity correlated function, by Hölder inequality power mean, midpoint type, Ostrowski trapezoid via integral id="M3"> id="M4"> are apprehended. proposed provides results giving some special values parameters or imposing restrictive assumptions completely feasible recapturing existing relative literature. To determine computational offered scheme, numerical applications discussed. scheme show that approach straightforward apply computationally very user-friendly accurate.