On logarithmic q-statistical convergence and Korovkin approximation theorem
Yükleniyor...
Tarih
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Recently, the notion of q-Cesàro summability has been introduced as a new summability method. In this work, we make use of q-calculus and harmonic summability to define logarithmic q-density and logarithmic q-statistical convergence and establish its relation with H1q-summability. Further, we discuss how logarithmic q-statistical convergence and [H1q, p]-summability are related to each other. Finally, we use this new summability method in proving a Korovkin type theorem.
Açıklama
Anahtar Kelimeler
Asymptotic density, Korovkin’s theorem, logarithmic density, logarithmic q-density, q-density, statistical q-convergence, statistical summability (H, 1), Asimptotik yoğunluk, Korovkin teoremi, logaritmik yoğunluk, logaritmik q-yoğunluk, q-yoğunluk, istatistiksel q-yakınsaklık, istatistiksel (H, 1)-toplanabilirlik
Kaynak
Filomat
WoS Q Değeri
Scopus Q Değeri
SDG
Cilt
40
Sayı
10
Künye
Savaş, E., Mursaleen, M., & Savaş, R. (2026). On logarithmic q-statistical convergence and Korovkin approximation theorem. Filomat, 40(10), 3577–3585. https://doi.org/10.2298/FIL2610577S
