Table 2 The comparison results of upper bounds \(h_{2}\) with different \(h_{1}\) for \(\mu = 0.2\) (Example 2)

E. Fridman et al. [9] Theorem 1

1.1640

2.2189

2.2566

2.3110

2.3523

2.3677

2.4596

H.Y. Shao [6] Theorem 1

1.1894

2.2357

2.2780

2.3360

2.3716

2.3880

2.4755

J. Sun et al. [10] Theorem 2

1.2033

2.2505

2.2892

2.3537

2.3990

2.4015

2.4981

P.G. Park et al. [26] Theorem 2

1.2202

2.2781

2.3075

2.3701

2.4211

2.4301

2.5181

A. Seuret et al. [31] Theorem 1

1.2498

2.2901

2.3316

2.3900

2.4491

2.4573

2.5306

Theorem 2

1.2690

2.3160

2.3569

2.4206

2.4662

2.4792

2.5610