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 …

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 …

Our concern in this paper is with the essential properties of a finite class of orthogonal
polynomials with respect to a weight function related to the probability density function of the …

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

Many methods are available for approximating the integral to the desired precision in
Numerical integration. A new set of numerical integration formula of Open Newton-Cotes …

In this research paper, a new family of numerical integration of closed newton cotes is
introduced which uses the mean of arithmetic and geometric means at derivative value for …

In this paper, A Modified Trapezoidal Rule is presented for the evaluation of numerical
integration; the proposed method appears to be efficient modification of trapezoidal rule …