Pólya-type polynomial inequalities in Orlicz spaces and best local approximation

Author:

Cuenya Héctor H,Levis Fabián E,Ridolfi Claudia V

Abstract

Abstract We obtain an extension of Pólya-type inequalities for univariate real polynomials in Orlicz spaces. We also give an application to a best local approximation problem. MSC 2010: 41A10; 41A17.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference9 articles.

1. Krasnosel'skii M, Rutickii Ya: Convex Function and Orlicz Spaces. Noordhoff Groningen 1961.

2. Chui C, Diamond H, Raphael R: On best data approximation. Approx Theory Appl 1984, 1: 37–56.

3. Cuenya H, Favier S, Levis F, Ridolfi C: Weighted best local · -approximation in Orlicz spaces. Jaen J Approx 2010, 2(1):113–127.

4. Favier S, Ridolfi C: Weighted best local approximation in Orlicz spaces. Anal Theory Appl 2008, 24(3):225–236. 10.1007/s10496-008-0225-y

5. Cuenya H, Levis F, Marano M, Ridolfi C: Best local approximation in Orlicz spaces. Numer Funct Anal Optim 2011, 32(11):1127–1145. 10.1080/01630563.2011.590264

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