Quantum Bernstein fractal functions

Vijender N. ; Chand A. K. B. ; Navascués Sanagustín, M. A. (Universidad de Zaragoza) ; Sebastián M. V.

Resumen: In this article, taking the quantum Bernstein functions as base functions, we have proposed the class of quantum Bernstein fractal functions. When (Formula presented.) the base function is taken as the classical q-Bernstein polynomials, we propose the class of quantum fractal functions through a multivalued quantum fractal operator. When (Formula presented.) the base function is assumed as q-Kantorovich-Bernstein polynomial to construct the sequence of (Formula presented.) -Kantorovich-Bernstein fractal functions that converges uniformly to f. Some approximation properties of these new class of quantum fractal interpolants have been studied.

Idioma: Inglés

DOI: 10.1002/cmm4.1118

Año: 2021

Publicado en: Computational and Mathematical Methods 3, 3 (2021), 1118
ISSN: 2577-7408

Factor impacto CITESCORE: 1.3 - Engineering (Q3) - Mathematics (Q3) - Computer Science (Q4)

Factor impacto SCIMAGO: 0.255 - Computational Mechanics (Q3) - Computational Mathematics (Q3)

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)