Add to ORKGIn this paper, by the use of some classical results from the Theory of Inequalities, we point out quasi-trapezoid quadrature formulae for which the error of approximation is smaller than in the classical case. Examples are given to demonstrate that the bounds obtained within this paper may be tighter than the classical ones. Some applications for special means are also given
An integral inequality is developed from which when applied to composite quadrature rules in numeric...
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-poin...
A quasi-trapezoid inequality is derived for double integrals that strengthens considerably existing ...
In this paper, by the use of some classical results from the Theory of Inequalities, we point out qu...
Using some classical results from the theory of inequalities (Grüss' inequality, Hermite- Hadamard's...
Using some classical results from the theory of inequalities (Grüss' inequality, Hermite- Hadamard's...
In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean...
In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean...
The general principle of the trapezoidal rule of numerical integration is given. A specific example...
A new inequality for the trapezoidal formula in terms of p-norms is presented with applications to n...
AbstractIn this paper, some inequalities of Hadamard’s type for quasi-convex functions are given. So...
The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano...
Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first deriv...
Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first deriv...
In many applied problems, efficient calculation of quadratures with high accuracy is required. The e...
An integral inequality is developed from which when applied to composite quadrature rules in numeric...
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-poin...
A quasi-trapezoid inequality is derived for double integrals that strengthens considerably existing ...
In this paper, by the use of some classical results from the Theory of Inequalities, we point out qu...
Using some classical results from the theory of inequalities (Grüss' inequality, Hermite- Hadamard's...
Using some classical results from the theory of inequalities (Grüss' inequality, Hermite- Hadamard's...
In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean...
In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean...
The general principle of the trapezoidal rule of numerical integration is given. A specific example...
A new inequality for the trapezoidal formula in terms of p-norms is presented with applications to n...
AbstractIn this paper, some inequalities of Hadamard’s type for quasi-convex functions are given. So...
The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano...
Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first deriv...
Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first deriv...
In many applied problems, efficient calculation of quadratures with high accuracy is required. The e...
An integral inequality is developed from which when applied to composite quadrature rules in numeric...
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-poin...
A quasi-trapezoid inequality is derived for double integrals that strengthens considerably existing ...