The present paper emphasises on equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions by using deferred Cesàro and deferred Euler statistical convergence and obtain various implicative results with supporting examples. We make an effort to demonstrate Korovkin-type approximation theorem via deferred Cesàro and deferred Euler equi-statistical convergence. We also present an example which shows that our Korovkin-type theorem is powerful than its classical version. Further, we study rates of deferred Cesàro and deferred Euler equi-statistical convergence via modulus of continuity.

本文着重利用递延Cesàro和递延欧拉统计收敛对一系列实值函数进行等统计收敛、逐点统计收敛和一致统计收敛，并结合实例得到各种蕴涵结果。我们努力通过延迟 Cesàro 和延迟 Euler 等统计收敛来证明 Korovkin 型近似定理。我们还提供了一个示例，该示例表明我们的 Korovkin 型定理比其经典版本更强大。此外，我们通过连续性模数研究了递延 Cesàro 和递延 Euler 等统计收敛率。