http://hdl.handle.net/11513/35 Matematik ve Fen Bilimleri Eğitimi Bölümü'ne ait koleksiyonları içerir. 2026-04-08T23:37:28Z http://hdl.handle.net/11513/198 Title: Some Geometric Properties of Generalized Difference Ces`aro Sequence Spaces Authors: Şengül, Hacer; Et, Mikail Abstract: : In this paper, we define the generalized Ces`aro difference sequence space C(p)(∆m) and consider it equipped with the Luxemburg norm under which it is a Banach space and we show that in the space C(p)(∆m) every weakly convergent sequence on the unit sphere converges is the norm, where p = (pn) is a bounded sequence of positive real numbers with pn > 1 for all n ∈ N 2017-01-01T00:00:00Z http://hdl.handle.net/11513/195 Title: On Pointwise Lacunary Statistical Convergence of Order a of Sequences of Function Authors: Et, Mikail; Şengül, Hacer Abstract: In this paper we introduce the concepts of pointwise lacunary statistical convergence of order a and pointwise wpðf ; hÞ—summability of order a of sequences of real valued functions. Also some relations between pointwise Sa hðfÞ—statistical convergence and pointwise wa pðf ; hÞ—summability are given. 2015-01-01T00:00:00Z http://hdl.handle.net/11513/194 Title: ON (∆m, I) − LACUNARY STATISTICAL CONVERGENCE OF ORDER α Authors: Et, Mikail; Şengül, Hacer Abstract: In this study, using the generalized difference operator ∆m, we introduce the concepts of (∆m, I) −lacunary statistical convergence of order α and lacunary strong ∆mp −summa 2016-01-01T00:00:00Z http://hdl.handle.net/11513/193 Title: ON WIJSMAN I− LACUNARY STATISTICAL EQUIVALENCE OF ORDER (η, µ) Authors: Şengül, Hacer Abstract: The idea of asymptotically equivalent sequences and asymptotic regular matrices was introduced by Marouf [ Marouf, M. Asymptotic equivalence and summability, Int. J. Math. Sci. 16(4) 755-762 (1993) ] and Patterson [ Patterson, RF. On asymptotically statistically equivalent sequences, Demonstr. Math. 36(1), 149-153 (2003) ] extended these concepts by presenting an asymptotically statistical equivalent analog of these definitions and natural regularity conditions for nonnegative summability matrices. In this paper we introduce the concepts of Wijsman asymptotically I−lacunary statistical equivalence of order (η, µ) and strongly asymptotically I−lacunary equivalence of order (η, µ) of sequences of sets and investigated between their relationship. 2018-01-01T00:00:00Z