Multivalued Extended Best Φ-Polynomial Approximation Operator. (1st November 2016)

• Record Type: Journal Article
• Authors: Acinas, Sonia; Favier, Sergio
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 11(2016)
• Page Start: 1339
• Page End: 1353
• Publication Date: 2016-11-01
• Subjects: Best polynomial Φ-approximation operators -- multivalued extended best polynomial approximation -- Orlicz spaces; 41A10 -- 41A50 -- 46E30; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1216445
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this article, we consider the best multivalued polynomial approximation operator, defined in an Orlicz Space L Φ ( B ), and its extension to L φ ( B ), where φ is the derivative of Φ which is not an N -function. Thus, the extension of the best polynomial approximation operator from L 1 ( B ) to L 0 ( B ) arises as a particular case of this work, taking Φ ( x ) = x .