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Some New Midpoint and Trapezoidal-Type Inequalities for General Convex Functions in q-Calculus

Some New Midpoint and Trapezoidal-Type Inequalities for General Convex Functions in q-Calculus

The main objective of this study is to establish two important right q-integral equalities involving a right-quantum derivative with parameter m∈[0,1]. Then, utilizing these equalities, we derive some new variants for midpoint- and trapezoid-type inequalities for the right-quantum integral via differentiable (α,m)-convex functions. The fundamental benefit of these inequalities is …