Motivated by Pečarić et al. in (J. Math. Inequal. 11(2):543–5502017), we established here weighted discrete dynamic inequalities for the difference of second divided difference of 4-convex functions. Further we extend and unify the two inequalities, by establishing the theory of n-convexity on time scales having constant graininess function.

中文翻译：

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四凸函数的加权离散动态不等式及其在具有恒定粒度函数的时标上的推广

受Pečarić等人启发。在（J. Math。Inequal。11（2）：543–5502017）中，我们在这里建立了4凸函数二次除数之差的加权离散动态不等式。通过建立具有恒定粒度功能的时标上的n凸理论，我们进一步扩展和统一了两个不等式。