Approximation Results via Power Series Method for Sequences of Monotone and Sublinear Operators
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Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we use the power series methods to study Korovkin-type approximation theorems for sequences of operators that are monotone and sublinear. It is important to point out that any positive linear operator is monotone sublinear but the converse is not true. We also calculate the rate of convergence in terms of modulus of continuity. Finally, we provide some examples that satisfy our theorems and give quantitative estimates. We also define Bernstein-Chlodovsky-Kantorovich-Choquet (BCKC) polynomial operators similar to those given before and obtain approximation estimate.
Açıklama
Anahtar Kelimeler
Power series method, monotone and sublinear operators, nonlinear Choquet integral
Kaynak
Results in Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
80
Sayı
2
