Nonlinear phenomena occur in various fields of science, business, and engineering.
Research in the area of computational science is constantly growing, with the development …

Nonlinear phenomena occur in diverse fields such as science, engineering and business.
Research within computational science is continuously advancing, characterized by the …

In this paper we consider a family of six sets of means based modifications of Newton's
method for solving nonlinear equations. Each set is a parametric class of methods. Some …

In this paper we consider third-order modifications of Newton's method for solving nonlinear
equations. Considered methods are based on Stolarsky and Gini means, Stolarsky …

Some Generalizations of Ostrowski Inequalities and Their Applications to Numerical Integration
and Special Means Fiza Zafar Prof Page 1 Some Generalizations of Ostrowski Inequalities and …

Based on the two-point Hermite interpolation technique, the paper proposes a two-point
generalized Hermite interpolation and its inversion in terms of weight functions. We prove …

Several authors have designed variants of Newton's method for solving nonlinear equations
by using different means. This technique involves a symmetry in the corresponding fixed …

In this study, we introduced a new family of two-and three-step iterative methods for solving
non-linear equations. The proposed methods adhere to the Kung and Traub conjecture …

In this work we propose an improvement to the popular Newton's method based on the
contra-harmonic mean while using quadrature rule derived from a Ostrowski-Gräuss type …

In this paper, a class of Newton-type methods known as generalized power means Newton
method for solving nonlinear equations is proposed. The new method includes power …