Bivariate Baskakov type operators

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Atıf İçin Kopyala

TAŞDELEN YEŞİLDAL F., Bodur M.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.113, sa.4, ss.3269-3281, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 113 Sayı: 4
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s13398-019-00695-4
• Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.3269-3281
• Anahtar Kelimeler: Baskakov operators, Convexity, Lipschitz continuity, Shape preserving properties, APPROXIMATION
• Ankara Üniversitesi Adresli: Evet

Özet

The goal of this paper is to propose a modern and comprehensive exposition of the main aspects of functions for bivariate Baskakov type operators. Primarily, we prove that operators preserve Lipschitzs constant of a Lipschitz continuous function. Then, we demonstrate that given operators can maintain some properties of the function f. Ultimately, we deal with the monotony of the bivariate Baskakov type operators for which the approximating function is convex. That is to say, we discuss that investigated operators aremonotonically nonincreasing for n while f is.- convex.