Symmetry, Vol. 15, Pages 1441: Raina’s Function-Based Formulations of Right-Sided Simpson’s and Newton’s Inequalities for Generalized Coordinated Convex Functions

Symmetry, Vol. 15, Pages 1441: Raina’s Function-Based Formulations of Right-Sided Simpson’s and Newton’s Inequalities for Generalized Coordinated Convex Functions

Symmetry doi: 10.3390/sym15071441

Authors: Miguel Vivas-Cortez Ghulam Murtaza Ghulam Murtaza Baig Muhammad Uzair Awan

The main focus of this article is to derive some new counterparts to Simpson’s and Newton’s type inequalities involve a class of generalized coordinated convex mappings. This class contains several new and known classes of convexity as special cases. For further demonstration, we deploy the concept of right quantum derivatives to develop two new identities involving Raina’s function. Moreover, by implementing these auxiliary results together with generalized convexity, we acquire a Holder-type inequality. We also acquire some applications of our main findings by making use of suitable substitutions in Raina’s function.