Scopus
YÖKSİS Eşleşti
Approximation Results for Hadamard-Type Exponential Sampling Kantorovich Series
Mediterranean Journal of Mathematics · Ekim 2023
YÖKSİS Kayıtları
Approximation Results for Hadamard-Type Exponential Sampling Kantorovich Series
Mediterranean Journal of Mathematics · 2023 SCI-Expanded
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Makale Bilgileri
DergiMediterranean Journal of Mathematics
Yayın TarihiEkim 2023
Cilt / Sayfa20
Scopus ID2-s2.0-85164488091
Özet
The present paper deals with construction of a new family of exponential sampling Kantorovich operators based on a suitable fractional-type integral operators. We study convergence properties of newly constructed operators and give a quantitative form of the rate of convergence thanks to logarithmic modulus of continuity. To obtain an asymptotic formula in the sense of Voronovskaja, we consider locally regular functions. The rest of the paper devoted to approximations of newly constructed operators in logarithmic weighted space of functions. By utilizing a suitable weighted logarithmic modulus of continuity, we obtain a rate of convergence and give a quantitative form of Voronovskaja-type theorem via remainder of Mellin–Taylor’s formula. Furthermore, some examples of kernels which satisfy certain assumptions are presented and the results are examined by illustrative numerical tables and graphical representations.
Yazarlar (3)
1
Sadettin Kursun
ORCID: 0000-0001-6697-9627
2
Ali Aral
ORCID: 0000-0002-2024-8607
3
Tuncer Acar
Anahtar Kelimeler
Exponential sampling Kantorovich series
Hadamard-type fractional integral operators
logarithmic weighted space of functions
modulus of continuity
rate of convergence
Voronovskaja-type formulae
Kurumlar
Kirikkale Üniversitesi
Kirikkale Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
5
Atıf
3
Yazar
6
Anahtar Kelime