Open AccessOn error of interval quadrature formula of rectangles 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 - 10.15421/240711
Subject(s) - quadrature (astronomy) , mathematics , modulus of continuity , omega , class (philosophy) , interval (graph theory) , regular polygon , gauss–kronrod quadrature formula , mathematical analysis , combinatorics , clenshaw–curtis quadrature , pure mathematics , discrete mathematics , gaussian quadrature , integral equation , geometry , nyström method , physics , type (biology) , computer science , quantum mechanics , artificial intelligence , ecology , biology , optics
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.