Table 2 The slope k and the degree of linear approximation of the GLHS functions with different scaling parameters \(\lambda\)

0.1

0.0468

0.3371

0.0063

0.9968

0.2

0.0935

0.1732

0.0064

0.9967

0.3

0.1402

0.1207

0.0065

0.9966

0.4

0.1868

0.0962

0.0067

0.9965

0.5

0.2331

0.0830

0.0068

0.9964

0.6

0.2792

0.0757

0.0071

0.9962

0.7

0.3250

0.0718

0.0074

0.9959

0.8

0.3706

0.0703

0.0078

0.9957

0.9

0.4157

0.0708

0.0082

0.9953

1

0.4605

0.0723

0.0086

0.9950

1.5

0.6780

0.0975

0.0116

0.9898

2

0.8841

0.1451

0.0155

0.9887

2.5

1.0790

0.2141

0.0199

0.9838

3

1.2630

0.2976

0.0245

0.9780

3.5

1.4400

0.3914

0.0292

0.9717

4

1.6090

0.4926

0.0338

0.9648

4.5

1.7720

0.5999

0.0384

0.9575

5

1.9310

0.6974

0.0425

0.9504