В. Ф. Бабенко
Abstract
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It is proved that interval quadrature formula of the form $$ q(f)=\sum\limits_{k=1}^nc_k\frac 1{2h}\int\limits_{x_k-h}^{x_k+h}f(t)dt $$ ($c_k\in \RR, \, x_1+h
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It is proved that interval quadrature formula of the form $$ q(f)=\sum\limits_{k=1}^nc_k\frac 1{2h}\int\limits_{x_k-h}^{x_k+h}f(t)dt $$ ($c_k\in \RR, \, x_1+h
Key concepts: Combinatorics, Integrable system, Mathematics, Quadrature (astronomy), Space (punctuation), Kernel (algebra), Pi, Equidistant