Open AccessOn the best interval quadrature formula for the class $W^2 H_1^{\omega}$
Author(s) -
Ye.V. Derets
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240809
Subject(s) - omega , quadrature (astronomy) , mathematics , class (philosophy) , interval (graph theory) , combinatorics , physics , computer science , artificial intelligence , optics , quantum mechanics
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.