Yayınlanmış 1 Ocak 2023
| Sürüm v1
Dergi makalesi
Açık
Some Korovkin type approximation applications of power series methods
Oluşturanlar
- 1. Istanbul Tech Univ, Dept Math, Fac Sci & Letters, TR-34469 Istanbul, Sariyer, Turkiye
- 2. Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Besevler, Turkiye
- 3. Selcuk Univ, Fac Sci, Dept Math, TR-42003 Konya, Selcuklu, Turkiye
Açıklama
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 L-q[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 mu-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.
Dosyalar
bib-d92d51ec-431b-4f89-8a24-559057dc6086.txt
Dosyalar
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