Some results on Continuous dependence of fractal functions on the Sierpiński gasket

2023/04/24 by Vishal Agrawal, Ajay Prajapati, Agrawal, Vishal +5 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #28A80 #41A10 #Advanced Mathematical Theories and Applications #Computability, Logic, AI Algorithms #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2304.11866

openalex publication_date 2023/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we show that α-fractal functions defined on Sierpiński gasket (denoted by \triangle) depend continuously on the parameters involved in the construction. In the latter part of this article, the continuous dependence of parameters on α-fractal functions defined on \triangle is shown graphically.

Cited by

• Dimension Of Inhomogeneous Sub-Self-Similar Sets
• Barnsley-Navascués fractal operators on Banach spaces on the Sierpiński gasket

Related

• Fractal polynomials On the Sierpiński gasket and some dimensional results
• On the box dimension of graph of harmonic functions on the Sierpi 'nski\n gasket
• Bounded Variation on the Sierpinski Gasket
• Mean value properties of harmonic functions on Sierpinski gasket type fractals
• Some Properties of the Derivatives on Sierpinski Gasket Type Fractals