Year: 2026
Type: article
Abstract: The preservation of specific functions, particularly exponential functions, constitutes a central theme in positive linear operators, a branch of approximation theory. This study investigates the preservation of exponential functions by modified Lupaş–Jain operators. Specifically, we construct a modification designed to reproduce both constant functions and the exponential functions $ e^{-\lambda x} $ for a fixed $ \lambda>0 $. We establish the uniform convergence of these operators via a modulus of continuity and present a quantitative Voronovskaya-type asymptotic theorem. Finally, to validate our theoretical framework, the paper concludes with detailed graphical and numerical simulations.
DOI: 10.3934/mfc.2026030
Authors: Prashantkumar Patel, Murat Bodur
Institutions: Sardar Patel University, Konya Technical University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7208729375