A new study on the strongly lacunary quasi Cauchy sequences
International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017, Thessaloniki, Yunanistan, 25 - 30 Eylül 2017, cilt.1978, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1978
- Doi Numarası: 10.1063/1.5043983
- Basıldığı Şehir: Thessaloniki
- Basıldığı Ülke: Yunanistan
- Anahtar Kelimeler: Sequences, series, strongly lacunary convergence
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, the concept of a strongly lacunary δ2 quasi-Cauchy sequence is introduced. We proved interesting theorems related to strongly lacunary δ2-quasi-Cauchy sequences. A real valued function f defined on a subset A of the set of real numbers, is strongly lacunary δ2 ward continuous on A if it preserves strongly lacunary δ2 quasi-Cauchy sequences of points in A, i.e. (f(αk)) is a strongly lacunary δ2 quasi-Cauchy sequence whenever (αk) is a strongly lacunary δ2 quasi-Cauchy sequences of points in A, where a sequence (αk) is called strongly lacunary δ2 quasi-Cauchy if (Δ2αk) is a strongly lacunary δ2 quasi-Cauchy sequence where Δ2αk = αk+2 - 2αk+1 + αk for each positive integer k.