Local fractional Newton’s inequalities involving generalized harmonic convex functions

[摘要] 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.

[学科分类] 航空航天科学

[关键词] Simpson’s inequality;Generalized harmonic convex functions;Local fractional integrals