New quantum boundaries for q-Simpson's type inequalities for
co-ordinated convex functions
Abstract
The aim of this work is to develop quantum estimates for q-Simpson type
integral inequalities for co-ordinated convex functions by using the
notion of newly defined q₁q₂-derivatives and integrals. For this, we
establish a new identity including quantum integrals and quantum numbers
via q₁q₂- differentiable functions. After that, with the help of this
equality, we achieved the results we want. The outcomes raised in this
paper are extensions and generalizations of the comparable results in
the literature on Simpson’s inequalities for co-ordinated convex
functions.