Novel Formulas for <i>B</i>-Splines, Bernstein Basis Functions, and Special Numbers: Approach to Derivative and Functional Equations of Generating Functions

Novel Formulas for <i>B</i>-Splines, Bernstein Basis Functions, and Special Numbers: Approach to Derivative and Functional Equations of Generating Functions

The purpose of this article is to give relations among the uniform <i>B</i>-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method. We derive a relation between generating functions for the uniform &...

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Bibliographic Details
Main Author: Yilmaz Simsek
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Mathematics
Subjects:
generating functions
uniform <i>B</i>-splines
Bernstein basis functions
Apostol–Bernoulli numbers and polynomials
Apostol–Euler numbers and polynomials
Eulerian numbers and polynomials
Online Access:https://www.mdpi.com/2227-7390/12/1/65

Internet

https://www.mdpi.com/2227-7390/12/1/65

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