Scopus
YÖKSİS Eşleşti
Some Korovkin type approximation applications of power series methods
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas · Ocak 2023
YÖKSİS Kayıtları
Some Korovkin type approximation applications of power series methods
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. · 2023 SCI-Expanded
DOÇENT DİLEK SÖYLEMEZ ÖZDEN →
Makale Bilgileri
DergiRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas
Yayın TarihiOcak 2023
Cilt / Sayfa117
Scopus ID2-s2.0-85142517773
Özet
Korovkin type approximation via summability methods is one of the recent interests of the mathematical analysis. In this paper, we prove some Korovkin type approximation theorems in Lq[ a, b] , the space of all measurable real valued qth power Lebesgue integrable functions defined on [a, b] for q≥ 1 , and C[a, b], the space of all continuous real valued functions defined on [a, b], via statistical convergence with respect to power series (summability) methods, integral summability methods and μ-statistical convergence of the power series transforms of positive linear operators. We also show with examples that the results obtained in the present paper are stronger than some existing approximation theorems in the literature.
Yazarlar (3)
1
Havva Uluçay
2
Mehmet Ünver
ORCID: 0000-0002-0857-1006
3
Di̇lek Söylemez
Anahtar Kelimeler
Integral summability
Korovkin type approximation theorem
Power series method
P-Statistical convergence
Kurumlar
Ankara Üniversitesi
Ankara Turkey
İstanbul Teknik Üniversitesi
Istanbul Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
14
Atıf
3
Yazar
4
Anahtar Kelime