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Abstract
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In recent years, many researches have been done on the tgsconvex functions and their applications. In this article, we present some
properties of the tgs-convex functions by interesting examples. Then we
investigate the non-positive property of the tgs-convex functions. Also,
we derive types of the Jensen’s inequality for the tgs-convex functions
and obtain several inequalities with respect to the Jensen’s inequality.
Finally, we give some applications of these inequalities.
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