A new family of numerical integration formula of closed Newton–Cotes-type is presented,
that uses both the function value and the derivative value on uniformly spaced intervals …

This paper discusses on numerical improvement of the Newton–Cotes integration rules,
which are in forms of: It is known that the precision degree of above formula is n+ 1 for even …

A novel family of numerical integration of closed Newton‐Cotes quadrature rules is
presented which uses the derivative value at the midpoint. It is proved that these kinds of …

This study, which examines a calculation method on the basis of a dual neural network for
solving multiple definite integrals, addresses the problems of inefficiency, inaccuracy, and …

A new family of numerical integration formula is presented, which uses the function
evaluation at the midpoint of the interval and odd derivatives at the endpoints. Because the …

Some new families of open Newton‐Cotes rules which involve the combinations of function
values and the evaluation of derivative at uniformly spaced points of the interval are …

The aim of this work, is to evaluate the value of a fuzzy integral by applying the Newton-
Cotes integration rules via a reliable scheme. In order to perform the numerical examples …

In this research, some new and efficient quadrature rules are proposed involving the
combination of function and its first derivative evaluations at equally spaced data points with …

In this paper, the computation of numerical integration using arithmetic mean (AMDCNC),
geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivativebased closed …

This paper describes the steps of transforming a paper-and-pencil English proficiency test
into an computerized adaptive test (TAI-PI) based on an Item Response Theory (IRT) model …