Shape-preserving multivariate polynomial approximation in C[−1, 1]m. (14th February 2004)
- Record Type:
- Journal Article
- Title:
- Shape-preserving multivariate polynomial approximation in C[−1, 1]m. (14th February 2004)
- Main Title:
- Shape-preserving multivariate polynomial approximation in C[−1, 1]m
- Authors:
- Gal, Ciprian S.
Gal, Sorin G. - Abstract:
- Abstract : We construct multivariate polynomials attached to a functionf ofm variables, m ≥ 2, which approximatef with Jackson-type rate involving a multivariate Ditzian-Totikω 2 φ -modulus and preserve some natural kinds of multivariate monotonicity and convexity of function. The result extends the bivariate case in Gal (2002), but does not follow straight from it and requires a careful calculation.
- Is Part Of:
- International journal of mathematics and mathematical sciences. Number 7(2004)
- Journal:
- International journal of mathematics and mathematical sciences
- Issue:
- Number 7(2004)
- Issue Display:
- Volume 7, Issue 7 (2004)
- Year:
- 2004
- Volume:
- 7
- Issue:
- 7
- Issue Sort Value:
- 2004-0007-0007-0000
- Page Start:
- 325
- Page End:
- 333
- Publication Date:
- 2004-02-14
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.hindawi.com/journals/ijmms/ ↗
- DOI:
- 10.1155/S0161171204306137 ↗
- Languages:
- English
- ISSNs:
- 0161-1712
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10834.xml