scholarly journals On the best interval quadrature formula for the class $W^2 H_1^{\omega}$

2021 ◽  
Vol 16 ◽  
pp. 73
Author(s):  
Ye.V. Derets
Keyword(s):  
Quadrature Formula ◽  
Modulus Of Continuity ◽  
Second Derivative ◽  
Integral Modulus ◽  
Class Of Functions

We prove that the rectangular interval quadrature formula is the best for the class of functions with given convex majorant of integral modulus of continuity of the second derivative.

scholarly journals On error of interval quadrature formula of rectangles for the class $W^2 H_1^{\omega}$

2021 ◽  
Vol 15 ◽  
pp. 84
Author(s):  
Ye.V. Derets
Keyword(s):  
Quadrature Formula ◽  
Modulus Of Continuity ◽  
Second Derivative ◽  
Integral Modulus ◽  
Class Of Functions

We found the error of interval quadrature formula of rectangles for the class of functions with given convex majorant of integral modulus of continuity of second derivative.

scholarly journals On the best interval quadrature formula for the class of functions $W^3 H^{\omega}$

2021 ◽  
Vol 19 ◽  
pp. 47
Author(s):  
Ye.V. Derets
Keyword(s):  
Quadrature Formula ◽  
Modulus Of Continuity ◽  
Optimal Interval ◽  
Third Derivative ◽  
Class Of Functions

The optimal interval quadrature formula in the class of functions with convex majorant of the modulus of continuity of third derivative is obtained.

On the integral modulus of continuity of fourier series

1975 ◽  
Vol 28 (1) ◽  
pp. 78-85 ◽  
Author(s):  
Babu Ram
Keyword(s):  
Fourier Series ◽  
Modulus Of Continuity ◽  
Integral Modulus

scholarly journals On the Integral Modulus of Continuity of Fourier Series

1988 ◽  
Vol 44 (2) ◽  
pp. 151-158
Author(s):  
Babu Ram ◽  
Suresh Kumari
Keyword(s):  
Fourier Series ◽  
Trigonometric Series ◽  
Modulus Of Continuity ◽  
Wide Class ◽  
Integral Modulus

AbstractFor a wide class of sine trigonometric series we obtain an estimate for the integral modulus of continuity.

On the integral modulus of continuity of Fourier series

1972 ◽  
Vol 58 (1) ◽  
pp. 337-343
Author(s):  
Babu Ram
Keyword(s):  
Fourier Series ◽  
Modulus Of Continuity ◽  
Integral Modulus

scholarly journals A bound for the integral modulus of continuity

1967 ◽  
Vol 19 (3) ◽  
pp. 469-474 ◽  
Author(s):  
Charles S Rees
Keyword(s):  
Modulus Of Continuity ◽  
Integral Modulus
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