On urysohn-chlodovsky operators acting on functions defined over the real line
Yükleniyor...
Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
As a continuation of the very recent studies of the author dealing with Urysohn type operators (Karsli in Results Math 72(3):1571- 1583, 2017; Karsli in Approximation Results for Urysohn Type Nonlinear Bernstein Operators, Advances in Summability and Approximation Theory, Springer, Singapore, 2018; Karsli in Math Methods Appl Sci 42(16):5190-5198, 2019; Karsli in Const Math Anal 1(1):45-57, 2018; Karsli in Stud Univ Babes Bolyai Math 64(2):183-196, 2019; Karsli in Dolomites Res Notes Approx 14(2):58-67, 2021; Karsli in Carpathian Math Publ 13(3):631-641, 2021) and Chlodovsky operators acting on functions defined over the real line (Abel and Karsli in Mediterr J Math 17:201, 2020; Karsli in Adv Oper Theory 7:15, 2022), the first main goal of this work is to introduce an Urysohn type Chlodovsky operators acting on functions defined over the real line using the Urysohn type interpolation of the given function f which is bounded on every finite subinterval of R. These operators include several operators, which are very useful in signal reconstruction and approximation theory. Afterwards, we will give some characterization and convergence results for these operators, which are generalization and extension of the theory of classical interpolation of functions to operators. Finally, we give some applications of our study with some graphical representations. As a special case of our operators and approaches, one can obtain the recent operators, defined on the symmetric interval [-1, 1], introduced and investigated by Demkiv and Barnetskij
Açıklama
Anahtar Kelimeler
Chlodovsky Operators On R, Urysohn Operators, Urysohn Type Chlodovsky Operators On R, Approximation, Signal Reconstruction, Graphical Representations
Kaynak
Mediterranean Journal of Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
20
Sayı
1
Künye
Karsli, H. (2023). On Urysohn–Chlodovsky Operators Acting on Functions Defined over the Real Line. Mediterranean Journal of Mathematics, 20(1), 21.
