Abstract
The δ2(·) operator, where δ(·) is the known central difference operator, is considered. The associated odd and even polynomial sequences are determined and their generalizations studied. Particularly, matrix and determinant forms, recurrence formulas, generating functions and an algorithm for effective calculation are provided. An interesting property of biorthogonality is also demonstrated. New examples of odd and even central polynomial sequences are given.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference29 articles.
1. Über die analytische Darstellbarkeit sogenannter willkürlicher Funktionen einer reellen Veränderlichen;Weierstrass;Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin,1885
2. Approximation of functions by a new family of generalized Bernstein operators
3. A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
4. The History of Approximation Theory: From Euler to BErnstein;Steffens,2007
5. Orthogonal Polynomials;Szegô,1939
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献