Let be any linear interpolatory process that is exact for polynomials of degree i.e., if is a polynomial of degree . For a given function , Theorem m, m, Taylor’s says that . Define so that . Even More Error Analysis Define .
Let be any linear interpolatory process that is exact for polynomials of degree m, i.e., if is a polynomial of degree m, . For a given function , Taylor’s Theorem says that . Define so that . Even More Error Analysis Define .
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