A note on convex solutions to an equation on open intervals
Article Type
Research Article
Publication Title
Aequationes Mathematicae
Abstract
The note is concerned with the functional equation (Formula presented.) which is a generalised form of the so-called polynomial-like iterative equation. We investigate the existence of nondecreasing convex (both usual and higher order) solutions to this equation on open intervals using the Schauder fixed point theorem. The results supplement those proved by Trif (Aquat Math, 79:315–327, 2010) for the polynomial-like iterative equation by generalising them to a greater extent. This assertion is supported by some examples illustrating their applicability.
First Page
1151
Last Page
1159
DOI
10.1007/s00010-024-01038-4
Publication Date
8-1-2024
Recommended Citation
Gopalakrishna, Chaitanya, "A note on convex solutions to an equation on open intervals" (2024). Journal Articles. 4552.
https://digitalcommons.isical.ac.in/journal-articles/4552