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	STUDIA MATHEMATICA - Issue no. 4 / 2012

	Article:	SOME CORRECTED OPTIMAL QUADRATURE FORMULAS. Authors: PETRU BLAGA.


	Abstract: The optimal 3-point quadrature formulae of closed type are derived and the estimations of error in terms of a variety on norms involving the second derivative are given. The corrected quadrature rules of the optimal quadrature formulae are considered. These results are obtained from an inequalities point of view. Mathematics Subject Classification (2010): 65D30, 65D32, 26A15. Keywords: Optimal quadrature formula, corrected quadrature formula, Peano’s theorem, remainder term, optimal in sense Nikolski, optimal in sense Sard.




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