Approximation of functions by a new class of Gamma type operators; theory and applications
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ovidius Univ Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The study of the linear methods of approximation, which are given by sequences of positive and linear operators, studied extremely, in relation to different subjects of analysis, such as numerical analysis. The principal objective of this manuscript is to develop a new and more comprehensive version of Gamma type operators and presented their approximation features. For this purpose, we benefit from two sequences of functions, which are alpha(n)(x) and beta(n)(x), and from the function tau(x). To indicate how the function tau play a significant role in the construction of the operator, we reconstruct the mentioned operators which preserve exactly two test functions from the set {1, tau, tau(2)}. Then we established Voronovskaya type theorem and order of approximation properties of the newly defined operators utilizing weighted modulus of continuity to show that their approximation properties. At the end of this note, we present a series of numerical results to show that the new operators are an approximation technique.
Açıklama
Anahtar Kelimeler
Gamma type operators, Voronovskaya theorem, Modulus of continuity, Korovkin type theorem, Order of approximation, Numerical results
Kaynak
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
32
Sayı
1
