On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications
Saowaluck Chasreechai, Muhammad Aamir Ali, Surapol Naowarat, Thanin Sitthiwirattham, Kamsing Nonlaopon
Abstract
<abstract><p>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.</p></abstract>
Topics & Concepts
Multiplicative functionDifferentiable functionMathematicsInequalityType (biology)Function (biology)Calculus (dental)Pure mathematicsApplied mathematicsMathematical analysisDentistryBiologyEvolutionary biologyMedicineEcologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsFractional Differential Equations Solutions