New Smoothing Approximations to Piecewise Smooth Functions and Applications
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.40, sa.5, ss.513-534, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 5
- Basım Tarihi: 2019
- Doi Numarası: 10.1080/01630563.2018.1561466
- Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.513-534
- Anahtar Kelimeler: Non-smooth analysis, smoothing techniques, OBJECTIVE PENALTY-FUNCTION, CONSTRUCTION, NONSMOOTH, SURFACES
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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 dimensional cases. Finally, we apply our smoothing techniques on numerical examples.