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In this paper, we first establish two right-quantum integral equalities involving a right-quantum derivative and a parameter m∈ 0,1. Then, we prove modified versions of Simpson’s and Newton’s type inequalities using established equalities for right-quantum differentiable α,m-convex functions. The newly developed inequalities are also proven to be expansions of comparable inequalities found in the literature.

On Some Generalized Simpson’s and Newton’s Inequalities for (α, m)-Convex Functions in q-Calculus