Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as ...

Every polynomial is not differentiable at some point, this is known to be the domain or range of that polynomial. The lower range is called the Minima and the upper range is the Maxima of the ...

[1] A. Aziz and Q. M. Dawood, “Inequalities for a Polynomial and its Derivative,” Journal of Approximation Theory, Vol. 54, No. 3, 1998, pp. 306-313. [2] A. Aziz and N. A. Rather, “A Re-finement of a ...

Random polynomials, whose coefficients or zeros are drawn from probability distributions, provide a fertile ground for understanding complex systems and statistical behaviours. A central theme in this ...

The goal is to find the roots of a polynomial with arbitrary complex coefficients whose roots may be singular or multiple. This method (prm) starts two separate methods in parallel -- one method ...

Polynomial smoothing to estimate the derivative of a large sequence of sampled data requires the proper choice of the degree polynomial and the smoothing interval. Linear and cubic polynomial ...

The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...