WEIGHTED APPROXIMATION PROPERTIES OF STANCU TYPE MODIFICATION OF q-SZASZ-DURRMEYER OPERATORS

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Atıf İçin Kopyala

İÇÖZ G., Mohapatra R. N.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.65, sa.1, ss.87-103, 2016 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 65 Sayı: 1
• Basım Tarihi: 2016
• Doi Numarası: 10.1501/commual_0000000746
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.87-103
• Anahtar Kelimeler: q-Durrmeyer operators, q-Jackson integral, q-Beta functions
• Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we are dealing with q-Szasz-Mirakyan-Durrmeyer-Stancu operators. Firstly, we establish moments of these operators and estimate convergence results. We discuss a Voronovskaja type result for the operators. We shall give the weighted approximation properties of these operators. Furthermore, we study the weighted statistical convergence for the operators.