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math.NA2016
Asymptotically optimal definite quadrature formulae of -th order
Ana Avdzhieva, Geno Nikolov
We construct several sequences of asymptotically optimal definite quadrature formulae of fourth order and evaluate their error constants. Besides the asymptotical optimality, an ad…
math.NA2012★ 2 cited
On Markov-Duffin-Schaeffer inequalities with a majorant. II
Geno Nikolov, Alexei Shadrin
We are continuing out studies of the so-called Markov inequalities with a majorant. Inequalities of this type provide a bound for the -th derivative of an algebraic polynomial w…