HERMITE-HADAMARD TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR s−CONVEX FUNCTIONS OF MIXED KIND

Author(s) : ASIF RAZA KHAN, INAM ULLAH KHAN, SIRAJ MUHAMMAD

Abstract:

The s-convex functions of first kind and of second kind are well known functions. We would use recently introduced notion of s-convex functions of mixed kind and we would call it (s; r)-convex function. It would generalize the notion of first kind and second kind convexity in the sense that both kinds of convexities would be obtained easily by imposing certain specific conditions on it. We would state generalization of Hermite-Hadamard type inequalities by using our new notion of (s; r)-convex function via Riemann-Lioville fractional integrals.