New Smoothing Approximations to Piecewise Smooth Functions and Applications


YILMAZ N. , ŞAHİNER A.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.40, sa.5, ss.513-534, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/01630563.2018.1561466
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Sayfa Sayıları: ss.513-534

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.