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Table 1 The lower bounds for λ through Theorem 3.1 and Corollary 3.1

From: Error-constant estimation under the maximum norm for linear Lagrange interpolation

θ

h = 1/32

h = 1/64

\(\lambda _{h,B}\)

Theorem 3.1

Corollary 3.1

\(\lambda _{h,B}\)

Theorem 3.1

Corollary 3.1

π/6

9.8339

8.7356

9.8245

9.8925

9.5892

9.8901

π/4

13.517

12.263

13.505

13.574

13.234

13.570

π/3

15.412

14.357

15.397

15.457

15.177

15.454

π/2

5.5988

5.5418

5.5933

5.7812

5.7660

5.7799

2π/3

2.3954

2.3683

2.3930

2.5511

2.5433

2.5504

3π/4

1.5550

1.5369

1.5534

1.6768

1.6715

1.6764

5π/6

0.93778

0.92669

0.93687

1.0212

1.0179

1.0210