Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications

In this paper, we prove a new quantum integral equality involving parameter, left and right derivatives. Then, use the newly established some estimates of Ostrowski, midpoint, trapezoidal Simpson’s type inequalities for q-differentiable convex functions. It is also shown that are refinements existing inside literature. Finally, examples applications given to illustrate investigated results.