Araştırma Makalesi

Smoothing Approximations to Non-smooth Functions

Cilt: 1 Sayı: 2 21 Ocak 2019
PDF İndir
EN

Smoothing Approximations to Non-smooth Functions

Abstract

In this study, a new smoothing method is proposed for non-smooth functions. The theoretical results and error estimates are presented about this new smoothing method. Finally, some numerical examples are given.

Keywords

Kaynakça

  1. R. T. Rockafellar, R. J-B. Wets R. J-B., Variational Analysis, Springer, Berlin, 1998.
  2. F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
  3. V. F. Demyanov, A. M. Rubinov, Constructive Nonsmooth Analysis. Verlag Peter Lang, Frankfurt, 1995.
  4. B. Akteke-Ozkurt, G. W. Weber, G. Koksal, Optimization of generalized desirability functions under model uncertainty, Optimization, 66 (12) 2017, 2157--2169.
  5. A. Sahiner, N. Yilmaz and G. Kapusuz, A novel modeling and smoothing technique in global optimization, J. Ind. Manage. Optim., 15 (1) 2019, 113-130.
  6. D. Bertsekas, Nondifferentiable optimization via approximation, Math. Program. Stud., 3 1975, 1--25.
  7. I. Zang, A smoothing out technique for min-max optimization, Math. Programm., 19 1980, 61--77.
  8. A. E. Xavier, The hyperbolic smoothing clustering method, Patt. Recog., 43 2010, 731--737.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

21 Ocak 2019

Gönderilme Tarihi

21 Aralık 2018

Kabul Tarihi

10 Ocak 2019

Yayımlandığı Sayı

Yıl 1970 Cilt: 1 Sayı: 2

Kaynak Göster

APA
Sahiner, A., Yilmaz, N., & Ibrahem, S. A. (2019). Smoothing Approximations to Non-smooth Functions. Journal of Multidisciplinary Modeling and Optimization, 1(2), 69-74. https://izlik.org/JA97WR23BS
AMA
1.Sahiner A, Yilmaz N, Ibrahem SA. Smoothing Approximations to Non-smooth Functions. jmmo. 2019;1(2):69-74. https://izlik.org/JA97WR23BS
Chicago
Sahiner, Ahmet, Nurullah Yilmaz, ve Shehab Ahmed Ibrahem. 2019. “Smoothing Approximations to Non-smooth Functions”. Journal of Multidisciplinary Modeling and Optimization 1 (2): 69-74. https://izlik.org/JA97WR23BS.
EndNote
Sahiner A, Yilmaz N, Ibrahem SA (01 Ocak 2019) Smoothing Approximations to Non-smooth Functions. Journal of Multidisciplinary Modeling and Optimization 1 2 69–74.
IEEE
[1]A. Sahiner, N. Yilmaz, ve S. A. Ibrahem, “Smoothing Approximations to Non-smooth Functions”, jmmo, c. 1, sy 2, ss. 69–74, Oca. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA97WR23BS
ISNAD
Sahiner, Ahmet - Yilmaz, Nurullah - Ibrahem, Shehab Ahmed. “Smoothing Approximations to Non-smooth Functions”. Journal of Multidisciplinary Modeling and Optimization 1/2 (01 Ocak 2019): 69-74. https://izlik.org/JA97WR23BS.
JAMA
1.Sahiner A, Yilmaz N, Ibrahem SA. Smoothing Approximations to Non-smooth Functions. jmmo. 2019;1:69–74.
MLA
Sahiner, Ahmet, vd. “Smoothing Approximations to Non-smooth Functions”. Journal of Multidisciplinary Modeling and Optimization, c. 1, sy 2, Ocak 2019, ss. 69-74, https://izlik.org/JA97WR23BS.
Vancouver
1.Ahmet Sahiner, Nurullah Yilmaz, Shehab Ahmed Ibrahem. Smoothing Approximations to Non-smooth Functions. jmmo [Internet]. 01 Ocak 2019;1(2):69-74. Erişim adresi: https://izlik.org/JA97WR23BS