On bivariate fractal approximation

Agrawal, Vishal; Som, Tanmoy; Verma S.

dc.contributor.author	Agrawal, Vishal
dc.contributor.author	Som, Tanmoy
dc.contributor.author	Verma S.
dc.date.accessioned	2023-04-18T06:17:25Z
dc.date.available	2023-04-18T06:17:25Z
dc.date.issued	2022-12
dc.identifier.issn	09713611
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/2064
dc.description	This paper is submitted by the author of IIT (BHU), Varanasi	en_US
dc.description.abstract	In this paper, the notion of dimension preserving approximation for real-valued bivariate continuous functions, defined on a rectangular domain [InlineEquation not available: see fulltext.], has been introduced and several results, similar to well-known results of bivariate constrained approximation in terms of dimension preserving approximants, have been established. Further, some clue for the construction of bivariate dimension preserving approximants, using the concept of fractal interpolation functions, has been added. In the last part, some multi-valued fractal operators associated with bivariate α-fractal functions are defined and studied.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Science and Business Media B.V.	en_US
dc.relation.ispartofseries	Journal of Analysis;Volume 30, Issue 4, Pages 1765 - 1783
dc.subject	Fractal dimension	en_US
dc.subject	Fractal surfaces	en_US
dc.subject	Bernstein polynomials	en_US
dc.subject	Bivariate constrained approximation	en_US
dc.subject	Fractal interpolation	en_US
dc.title	On bivariate fractal approximation	en_US
dc.type	Article	en_US