Riemann–Liouville fractional integral type exponential sampling Kantorovich series
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we introduce a new family of sampling Kantorovich type operators using fractional-type integrals. We study approximation properties of newly constructed operators and give a rate of convergence via a suitable modulus of continuity. Furthermore, we obtain an asymptotic formula considering locally regular functions. Secondly, we deal with logarithmic weighted spaces. By using a certain weighted logarithmic modulus of continuity, we obtain a rate of convergence and give a quantitative form of Voronovskaja-type theorem considering the remainder of Mellin–Taylor's formula. Moreover, we give a relation between generalized exponential sampling operators and newly constructed operators. Finally, we present some examples of kernels satisfying the obtained results. The results are examined by illustrative numerical table and graphical representations. © 2023 Elsevier Ltd
Açıklama
Anahtar Kelimeler
Exponential sampling series; Fractional integrals; Logarithmic weighted space of functions; Modulus of continuity; Rate of convergence; Voronovskaja-type theorem
Kaynak
Expert Systems with Applications
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
238
