0000000000405155

AUTHOR

Heiner Gonska

showing 2 related works from this author

Generalized Alomari functionals

2015

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.

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 mathematicsMathematics
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Perturbed Bernstein-type operators

2018

The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and second modulus of continuity are given. Also the asymptotic formulas for the new operators are proved.

Pure mathematicsAlgebra and Number Theory41A25 41A36010102 general mathematicsNumerical Analysis (math.NA)Type (model theory)01 natural sciencesModulus of continuityMathematik0103 physical sciencesFOS: Mathematics010307 mathematical physicsMathematics - Numerical Analysis0101 mathematicsMathematical PhysicsAnalysisMathematics
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