In this paper, we introduce a new class of harmonic functions, which is called harmonic $m$-preinvex functions for a fixed $m. $ Some Hermite-Hadamard inequality for harmonic $m$-preinvex functions are derived. Several special cases are discussed as applications of the main results. The ideas and techniques of this paper may be starting point for further research.
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机译：在本文中，我们介绍了一类新的谐波函数，称为固定$ m的谐波$ m $ -preinvex函数。导出了谐波$ m $ -preinvex函数的一些Hermite-Hadamard不等式。讨论了几种特殊情况作为主要结果的应用。本文的思想和技术可能是进一步研究的起点。
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