Abstract
In this paper, first we obtain a new identity for quantum integrals, the result is then used to prove midpoint type inequalities for differentiable coordinated convex mappings. The outcomes provided in this article are an extension of the comparable consequences in the literature on the midpoint inequalities for differentiable coordinated convex mappings.
Highlights
Quantum calculus, which is named q-calculus, is occasionally mentioned as calculation method without limits
There are multiple q-analogs from time to time. These operators constitute the base of the method that combine hypergeometric collection with q-hypergeometric collection and gives many formulations of q-calculus a natural shape
The quantum theory has become a cornerstone in theoretical mathematics and applied sciences, due to the fact that quantum analysis is very helpful in several fields and has huge applications in various areas of natural and applied sciences such as computer science and particle physics
Summary
Quantum calculus, which is named q-calculus, is occasionally mentioned as calculation method without limits. In [14], Hermite–Hadamard type inequalities for convex function of two-variable on the coordinates are established by Dragomir as follows.
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