Research Highlights
Congratulations to Gurubachan and Dr. V. V. M. S. Chandramouli for publishing their research paper in Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
Title: Constrained approximation and set-valued results for a class of fractal functions
Authors: Gurubachan, V.V.M.S. Chandramouli, and S. Verma
Journal: Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
Link/DOI: Constrained approximation and set-valued results for a class of fractal functions
Year: 2025
Publisher: American Institute of Mathematical Sciences (AIMS)
Abstract: We study constrained approximation for a class of α-fractal interpolation functions (α-FIFs, for short) without endpoint conditions. Precisely, for this α-FIFs without endpoint conditions, we explore monotonicity, one-sided and dimension-preserving approximations. Further, we investigate specific important properties of the associated set-valued functions. We also show the existence of fractal functions in Besov space w.r.t. the fractal measure.
