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
- R. T. Rockafellar, R. J-B. Wets R. J-B., Variational Analysis, Springer, Berlin, 1998.
- F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
- V. F. Demyanov, A. M. Rubinov, Constructive Nonsmooth Analysis. Verlag Peter Lang, Frankfurt, 1995.
- B. Akteke-Ozkurt, G. W. Weber, G. Koksal, Optimization of generalized desirability functions under model uncertainty, Optimization, 66 (12) 2017, 2157--2169.
- 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.
- D. Bertsekas, Nondifferentiable optimization via approximation, Math. Program. Stud., 3 1975, 1--25.
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- 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
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