Atıf İçin Kopyala
BAŞCANBAZ TUNCA G., İNCE İLARSLAN H. G., ERENÇİN A.
APPLIED MATHEMATICS AND COMPUTATION, cilt.273, ss.543-552, 2016 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
273
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Basım Tarihi:
2016
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Doi Numarası:
10.1016/j.amc.2015.10.037
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Dergi Adı:
APPLIED MATHEMATICS AND COMPUTATION
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.543-552
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Anahtar Kelimeler:
Lipschitz continuous function, Monotony, Bernstein type operator, POLYNOMIALS
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Ankara Üniversitesi Adresli:
Evet
Özet
In this paper, we introduce bivariate extension of Bernstein type operators defined in [11], We show that these operators preserve some properties of the original function f, such as Lipschitz constant and monotonicity. Furthermore, we present the monotonicity of the sequence of bivariate Bernstein type operators for n when f is tau-convex. (C) 2015 Elsevier Inc. All rights reserved.