New (p, q)-Symmetric Hermite-Hadamard-Type Inequalities in Quantum Calculus
Keywords:
Convex functions; Fundamental law of calculus; Hermite-Hadamard inequalities; Post-quantum calculus; (p, q)-symmetric calculus.Abstract
In this article, we first derive the basic properties of the left (p, q)-symmetric difference operator. In the following, we establish a change of variables formula and the fundamental theorem of calculus for the left (p, q)-symmetric definite integral operators. Moreover, we construct two new left (p, q)-symmetric Hermite-Hadamard-type inequalities for convex differentiable functions and construct their generalized form. Lastly, the graphical illustration depicts the validity of the newly obtained results.
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