On bernstein–chlodowsky type operators preserving exponential functions
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce, analyze, and obtain some features of a new type of Bernstein–Chlodowsky operators using a different technique that is utilized as the classical Chlodowsky operators. These operators preserve the functions (formula presented) and (formula presented). As a first result, the rate of convergence of the operator using an appropriately weighted modulus of continuity is obtained. Later, Quantitative-Voronovskaya type and Grüss–Voronovskaya type theorems for the new operators are presented. Then, we prove that the first derivative of the Bernstein–Chlodowsky operators applied to a function converges to the function itself. Finally, the variation detracting property of the operators is presented. It is proved that the variation seminorm property is preserved. Also, it is shown that the operators converge to (formula presented) in variation seminorm is valid if and only if the function is absolutely continuous.
Açıklama
International Conference on Recent Advances in Pure and Applied Mathematics, ICRAPAM 2018 -- 23 October 2018 through 25 October 2018 -- -- 237449
Anahtar Kelimeler
Bernstein Operators, Bernstein–Chlodowsky Operators, Generalized Convexity, Voronovskaya Theorem
Kaynak
Springer Proceedings in Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
306
