6533b7ddfe1ef96bd127368a
RESEARCH PRODUCT
Generalized Alomari functionals
Heiner GonskaAna Maria Acusubject
General Mathematics010102 general mathematicsMathematics::Classical Analysis and ODEsComputer Science::Numerical Analysis01 natural sciencesMidpointModulus of continuityQuadrature (mathematics)Moduli010101 applied mathematicsMathematics::Algebraic Geometry41A44 41A55 41A80 65D30Mathematics - Classical Analysis and ODEsMathematikClassical Analysis and ODEs (math.CA)FOS: MathematicsApplied mathematics0101 mathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-06-20 |