Abstract
In this paper, we introduce a modification of the Szasz–Mirakjan–Kantorovich operators as well as Stancu operators (or a Dunkl generalization of modified Szasz–Mirakjan–Kantrovich operators) which preserve the linearity. This type of modification enables better error estimation on the interval $$[1/2,\infty )$$ rather than the classical Dunkl Szasz–Mirakjan–Kantrovich as well as Stancu operators. We obtain some approximation results via well known Korovkin’s type theorem. We also calculate the rate of convergence of operators by means of modulus of continuity and Lipschitz type maximal functions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.