Generalized Alomari Functionals

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• 作者：Ana-Maria Acu ; Heiner Gonska
• 关键词：(Four point) quadrature formula ; K ; functional ; modulus of continuity
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：14
• 期：1
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1660-5454
• 卷排序：14

文摘

A generalized form of certain integral inequalities investigated by Guessab, Schmeisser and Alomari is given. The trapezoidal, midpoint, Simpson, Newton–Simpson rules are obtained as special cases. Also, inequalities for the generalized Alomari functional in terms of n-th order moduli are given and applied to some known quadrature rules.