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The new forms of voronovskaya’s theorem in weighted spaces

Positivity · Mart 2016

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YÖKSİS Kayıtları
The new forms of Voronovskaya s theorem in weighted spaces
Positivity · 2016 SCI-Expanded 1 atıf
Prof. Dr. TUNCER ACAR →
YÖKSİS ISSN Eşleşmesi

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YÖKSİS Kayıtları — ISSN Eşleşmesi
The new forms of Voronovskaya s theorem in weighted spaces
2016 ISSN: 1385-1292 SCI-Expanded 1 atıf
Prof. Dr. TUNCER ACAR →

Makale Bilgileri

ISSN13851292
Yayın TarihiMart 2016
Cilt / Sayfa20 · 25-40
Özet The Voronovskaya theorem which is one of the most important pointwise convergence results in the theory of approximation by linear positive operators (l.p.o) is considered in quantitative form. Most of the results presented in this paper mainly depend on the Taylor’s formula for the functions belonging to weighted spaces. We first obtain an estimate for the remainder of Taylor’s formula and by this estimate we give the Voronovskaya theorem in quantitative form for a class of sequences of l.p.o. The Grüss type approximation theorem and the Grüss-Voronovskaya-type theorem in quantitative form are obtained as well. We also give the Voronovskaya type results for the difference of l.p.o acting on weighted spaces. All results are also given for wellknown operators, Szasz-Mirakyan and Baskakov operators as illustrative examples. Our results being Voronovskaya-type either describe the rate of pointwise convergence or present the error of approximation simultaneously.

Yazarlar (3)

1
Tuncer Acar
2
Ali Aral
ORCID: 0000-0002-2024-8607
3
Ioan Raşa

Anahtar Kelimeler

Difference of operators Grüss-type-Voronovskaya theorem Voronovskaya theorem Weighted modulus of continuity

Kurumlar

Kirikkale Üniversitesi
Kirikkale Turkey
Universitatea Tehnica din Cluj-Napoca
Cluj Napoca Romania
Scimago Dergi (ISSN Eşleşmesi)
Positivity
Q1
SJR Skoru0,694
H-Index36
YayıncıBirkhauser Verlag Basel
ÜlkeSwitzerland
Mathematics (miscellaneous) (Q1)
Analysis (Q2)
Theoretical Computer Science (Q2)
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Metrikler

100
Atıf
3
Yazar
4
Anahtar Kelime

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