Riemann-Liouville fractional integral type exponential sampling Kantorovich series

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science 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.

Açıklama

Anahtar Kelimeler

Exponential sampling series; Fractional integrals; Rate of convergence; Modulus of continuity; Logarithmic weighted space of functions; Voronovskaja-type theorem

Kaynak

Expert Systems With Applications

WoS Q Değeri

Q1

Scopus Q Değeri

Cilt

238

Sayı

Künye