Quantum analog of some trapezoid and midpoint type inequalities for convex functions

Abstract

In this paper a new quantum analog of Hermite-Hadamard inequality is presented, and based on it, two new quantum trapezoid and midpoint identities are obtained. Moreover, the quantum analog of some trapezoid and midpoint type inequalities are established.

Keywords

• Trapezoid inequality
• convex function
• q-Integral
• midpoint inequality

References

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