http://hdl.handle.net/11513/35 Matematik ve Fen Bilimleri Eğitimi Bölümü'ne ait koleksiyonları içerir. Sun, 12 Apr 2026 02:18:23 GMT 2026-04-12T02:18:23Z http://hdl.handle.net/11513/198 Some Geometric Properties of Generalized Difference Ces`aro Sequence Spaces Şengül, Hacer; Et, Mikail : 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 Sun, 01 Jan 2017 00:00:00 GMT http://hdl.handle.net/11513/198 2017-01-01T00:00:00Z http://hdl.handle.net/11513/195 On Pointwise Lacunary Statistical Convergence of Order a of Sequences of Function Et, Mikail; Şengül, Hacer 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. Thu, 01 Jan 2015 00:00:00 GMT http://hdl.handle.net/11513/195 2015-01-01T00:00:00Z http://hdl.handle.net/11513/194 ON (∆m, I) − LACUNARY STATISTICAL CONVERGENCE OF ORDER α Et, Mikail; Şengül, Hacer 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 Fri, 01 Jan 2016 00:00:00 GMT http://hdl.handle.net/11513/194 2016-01-01T00:00:00Z http://hdl.handle.net/11513/193 ON WIJSMAN I− LACUNARY STATISTICAL EQUIVALENCE OF ORDER (η, µ) Şengül, Hacer 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. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/11513/193 2018-01-01T00:00:00Z