On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications

Abstract

In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative differentiable functions. Finally, we give some mathematical examples to show the validation of newly established inequalities.

Keywords

• simpson's inequalities
• newton's inequalities
• convex functions
• multiplicative calculus