Gradimir V. Milovanovic
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General concept of polynomials elementary inequalities zeros of polynomials special classes of polynomials extremal problems for polynomials inequalities connected with trigonometric sums.
The classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors… Expand
We give a short account on the methods for numerical inversion of the Laplace transform and also propose a new method. Our method is inspired and moti- vated from a problem of the evaluation of the M¤
Abstract A review of shape preserving approximation methods and algorithms for approximating univariate functions or discrete data is given. The notion of ‘shape’ refers to the geometrical behavior… Expand
Various discrete versions of Wirtinger’s type inequalities are considered. A short account on the first results in this field given by Fan, Taussky and Todd  as well as some generalisations of… Expand
The main object of this article is to present a systematic study of integral representations for generalized Mathieu series and its alternating variant, and to derive a new integral expression for… Expand
Numerical methods for strongly oscillatory and singular functions are given in this paper. Beside a summary of standard methods and product integration rules, we consider a class of complex… Expand
In this paper we give basic concepts of the Mathematica package \Or- thogonalPolynomials". The package \OrthogonalPolynomials" emerged from the need to implement basic algorithms from the theory of… Expand
A measure of efficiency of simultaneous methods for determination of polynomial zeros, defined by the coefficient of efficiency, is considered. This coefficient takes into consideration (1) the… Expand
AbstractUsing Newton's corrections and Gauss-Seidel approach, a modification of single-step method  for the simultaneous finding all zeros of ann-th degree polynomial is formulated in this paper.… Expand