On the Modification of Mellin Convolution Operator and Its Associated Information Potential
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we define a new generalization of Mellin-Gauss-Weierstrass operators that preserve logarithmic functions. We compute logarithmic moments of the new operators and describe the behavior of the modified operators in some weighted spaces. The weighted approximation properties of operators including weighted approximation and weighted quantitative type approximation properties, using weighted logarithmic modulus of continuity, are presented. Using the Mellin-Gauss-Weierstrass kernel p(., .) as a logarithmic probability density, we study the associated information potential, the expected value E[log p(., .)] and the variance Var[log p(., .)].
Açıklama
Anahtar Kelimeler
Information potential; logarithmic moments; Mellin-Gauss-Weierstrass operators; weighted logarithmic modulus of continuity
Kaynak
Numerical Functional Analysis and Optimization
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
44
Sayı
11
