A note on a new class of (ω, c)-periodic functions
Methode Koyabanda(a), Vivinsky Rodrigue Siopathis Sombo(a), Gaston N’Guérékata(b),
(a)
Department of Mathematics and Computer Science, University of Bangui, CAR
(b)
NEERLab, Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA
Received on January 19, 2023, revised February 19, 2023
Accepted with modifications on February 17, 2023, final version on March 23.
Communicated by Gisèle Mophou-Loudjom
| Abstract. In this paper, we introduce in a natural way a new class of (ω, c)-periodic functions and investigate some of their properties. We prove that the set of such functions is a Banach space under an appropriate norm and provide a composition result. We give also several examples of such functions. | |
| Keywords: | Banach space, (ω, c)-periodic function; C(n)−(ω, c)-periodic functions |
| 2010 Mathematics Subject Classification: 42A75, 43A99. | |