Optimal Quadrature Formulas with Positive Coefficients in L2(m)(0,1) Space
Abstract
In the Sobolev space L2(m)(0,1) optimal quadrature formulas with the nodes (1.5) are investigated. For optimal coefficients explicit form are obtained and norm of the error functional is calculated. In particular, by choosing parameter η0 in (1.5) the optimal quadrature formulas with positive coefficients are obtained and compared with well known optimal formulas.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.