APPROXIMATION BY SAMPLING TYPE DISCRETE OPERATORS

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Atıf İçin Kopyala

ASLAN İ.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.1, ss.969-980, 2020 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 69 Sayı: 1
• Basım Tarihi: 2020
• Doi Numarası: 10.31801/cfsuasmas.671237
• 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.969-980
• Anahtar Kelimeler: Sampling type operators, rate of approximation, summability process, SUMMABILITY, ACCELERATION, CONVERGENCE
• Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we deal with discrete operators of sampling type. It is known that this type of operators are related to generalized sampling series and they have important applications. In this work, using bounded and uniformly continuous functions we get general estimations under usual supremum norm with the help of summability method. We also study the degree of approximation with respect to suitable Lipschitz class of continuous functions. Finally, we give specific kernels which verify our kernel assumptions.