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The main goal of this study is to provide new q-Fejer and q-Hermite-Hadamard
type integral inequalities for uniformly convex functions and functions whose second
quantum derivatives in absolute values are uniformly convex. Two basic inequalities
as power mean inequality and Holder’s inequality are used in demonstrations. Some
particular functions are chosen to illustrate the investigated results by two examples
analyzed and the result obtained have been graphically visualized.
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