Local fractional Newton’s inequalities involving generalized harmonic convex functions

Abstract

Abstract A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional derivative in modulus is a generalized harmonic convex function.

Keywords

• Simpson’s inequality
• Generalized harmonic convex functions
• Local fractional integrals