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

Ye.V. Derets | Zendy

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On 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.

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