Abstract
The main objective of this work is to introduce and define the concept of s-type m-preinvex function and derive the new sort of Hermite-Hadamard inequality via the newly discussed idea. Furthermore, to enhance the quality of paper, we prove two new lemmas and in order to these lemmas, we attain some extensions of Hermite-Hadamard-type inequality in the manner of newly explored definition. The concepts and tools of this paper may invigorate and revitalize for additional research in this mesmerizing and absorbing field of mathematics.
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