Ostrowski-like Inequalities Research Articles

Ostrowski-Sugeno fuzzy inequalities

We present Ostrowski-Sugeno fuzzy type inequalities. These are Ostrowski-like inequalities in the context of Sugeno fuzzy integral and its special properties are investigated. Tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages are given. This work is greatly inspired by [3] and [1].

Fractional Ostrowski-Sugeno Fuzzy univariate inequalities

Here we present fractional univariate Ostrowski-Sugeno Fuzzy type inequalities. These are of Ostrowski-like inequalities in the setting of Sugeno fuzzy integral and its special-particular properties. In a fractional environment, they give tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages. The fractional derivatives we use are of Canavati and Caputo types. This work is greatly inspired by [ 8 ], [ 1 ] and [ 2 ].

On the optimal constants of Ostrowski-like inequalities involving n knots

We compute the optimal constants of Ostrowski-like inequalities involving n knots given by Huy and Ngô.

Remarks on Ostrowski-like inequalities

We show the error inequalities on quadrature formulas obtained by Huy and Ngô can be improved if m is even.

TWO SHARP OSTROWSKI-LIKE INEQUALITIES AND APPLICATIONS

Two sharp inequalities are derived. The first of them is a sharp inequality which gives an error bound for a Gauss-Legendre quadrature rule. The second is a sharp inequality which gives an error bound for a Radau quadrature rule. These inequalities enlarge the applicability of the corresponding quadrature rules with respect to the obtained error bounds. Applications in numerical integration are also given.