Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (2)

Search Parameters:
Keywords = Littlewood’s polynomials

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
25 pages, 917 KB  
Article
Linear Approximation Processes Based on Binomial Polynomials
by Octavian Agratini and Maria Crăciun
Mathematics 2025, 13(15), 2413; https://doi.org/10.3390/math13152413 - 27 Jul 2025
Viewed by 718
Abstract
The purpose of the article is to highlight the role of binomial polynomials in the construction of classes of positive linear approximation sequences on Banach spaces. Our results aim to introduce and study an integral extension in Kantorovich sense of these binomial operators, [...] Read more.
The purpose of the article is to highlight the role of binomial polynomials in the construction of classes of positive linear approximation sequences on Banach spaces. Our results aim to introduce and study an integral extension in Kantorovich sense of these binomial operators, which are useful in approximating signals in Lp([0,1]) spaces, p1. Also, inspired by the coincidence index that appears in the definition of entropy, a general class of discrete operators related to the squared fundamental basis functions is under study. The fundamental tools used in error evaluation are the smoothness moduli and Peetre’s K-functionals. In a distinct section, numerical applications are presented and analyzed. Full article
(This article belongs to the Section E: Applied Mathematics)
Show Figures

Figure 1

23 pages, 2291 KB  
Article
A Different Look at Polynomials within Man-Machine Interaction
by Beata Bajorska-Harapińska, Mariusz Pleszczyński, Michał Różański, Barbara Smoleń-Duda, Adrian Smuda  and Roman Wituła 
Information 2020, 11(12), 585; https://doi.org/10.3390/info11120585 - 17 Dec 2020
Cited by 1 | Viewed by 3335
Abstract
Undoubtedly, one of the most powerful applications that allow symbolic computations is Wolfram Mathematica. However, it turns out that sometimes Mathematica does not give the desired result despite its continuous improvement. Moreover, these gaps are not filled by many authors of books and [...] Read more.
Undoubtedly, one of the most powerful applications that allow symbolic computations is Wolfram Mathematica. However, it turns out that sometimes Mathematica does not give the desired result despite its continuous improvement. Moreover, these gaps are not filled by many authors of books and tutorials. For example, our attempts to obtain a compact symbolic description of the roots of polynomials or coefficients of a polynomial with known roots using Mathematica have often failed and they still fail. Years of our work with theory, computations, and different kinds of applications in the area of polynomials indicate that an application ‘offering’ the user alternative methods of solving a given problem would be extremely useful. Such an application would be valuable not only for people who look for solutions to very specific problems but also for people who need different descriptions of solutions to known problems than those given by classical methods. Therefore, we propose the development of an application that would be not only a program doing calculations but also containing an interactive database about polynomials. In this paper, we present examples of methods and information which could be included in the described project. Full article
(This article belongs to the Special Issue Computer Science and Systems – Selected Papers from Edition 2020)
Show Figures

Figure 1

Back to TopTop