New Smoothing Approximations to Piecewise Smooth Functions and Applications. (4th April 2019)

• Record Type: Journal Article
• Authors: Yilmaz, Nurullah; Sahiner, Ahmet
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 5(2019)
• Page Start: 513
• Page End: 534
• Publication Date: 2019-04-04
• Subjects: Non-smooth analysis -- smoothing techniques; 90C30 -- 49J52 -- 65D10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1561466
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this study, we present a new method of smoothing to approximate piecewise smooth functions. First, we give a new definition for piecewise smooth functions. Then, we present new local and global smoothing approximations for both one dimensional and n − dimensional cases. Finally, we apply our smoothing techniques on numerical examples.