Generalized Alomari Functionals
Copyright policy )Generalized Alomari Functionals
We consider a generalized form of certain integral inequalities given by Guessab, Schmeisser and Alomari. The trapezoidal, mid point, Simpson, Newton-Simpson rules are obtained as special cases. Also, inequalities for the generalized Alomari functional in terms of the $n$-th order modulus, $n=\overline{1,4}$, are given and applied to some known quadrature rules.
- University of Duisburg-Essen Germany
- "Lucian Blaga" University of Sibiu Romania
41A44, 41A55, 41A80, 65D30, Mathematics - Classical Analysis and ODEs, (four point) quadrature formula, Mathematik, Numerical integration, modulus of continuity, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Best constants in approximation theory, \(K\)-functional, Approximate quadratures
41A44, 41A55, 41A80, 65D30, Mathematics - Classical Analysis and ODEs, (four point) quadrature formula, Mathematik, Numerical integration, modulus of continuity, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Best constants in approximation theory, \(K\)-functional, Approximate quadratures
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