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The main objective of this paper is to introduce and study a new class of preinvex functions, which is called beta-preinvex functions. Some Hermite-Hadamard type inequalities for beta-preinvex functions are established. Our results can be viewed as significant and important generalizations of several previously known results. We also establish some integral inequalities involving Euler beta functions for the class of functions whose certain powers of the absolute value are beta-preinvex function. Results proved in this paper may stimulate further research in different areas of pure and applied sciences.