scholarly journals Upper bounds for a general linear functional with application to orthogonal polynomial expansions

2019 ◽  
pp. 119-122
Author(s):  
A. McD. Mercer ◽  
Peter R. Mercer
Keyword(s):  
Orthogonal Polynomial ◽  
Linear Functional ◽  
Upper Bounds ◽  
General Linear ◽  
Polynomial Expansions

A Novel Sampling Method based on Orthogonal Polynomial Expansions and Applications

2021 ◽  
Author(s):  
Zhenyu Cui ◽  
Justin Kirkby ◽  
Duy Nguyen ◽  
Stephen Michael Taylor
Keyword(s):  
Orthogonal Polynomial ◽  
Sampling Method ◽  
Polynomial Expansions

HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

2020 ◽  
Vol 102 (2) ◽  
pp. 293-302
Author(s):  
THEERAYOOT PHOCHAI ◽  
SATIT SAEJUNG
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Functional Equations ◽  
Linear Functional ◽  
Linear Equations ◽  
General Linear ◽  
Several Variables ◽  
Linear Functional Equations

Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem. We complete and extend Zhang’s result. We illustrate our results for general linear equations in two variables and Fréchet equations.

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