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Universal Journal of Mathematics and Applications, 2023 In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle +2 more
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Lacunary I-invariant convergence
Cumhuriyet Science Journal, 2020 In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
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On Asymptotically Lacunary Statistical Equivalent Set Sequences [PDF]
Journal of Mathematics, 2013 This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems in Patterson and Savaş (2006).
Uğur Ulusu, Fatih Nuray
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Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
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Some new sequence spaces defined by lacunary sequences [PDF]
Mathematica Slovaca, 2007 Abstract It is natural to expect that lacunary almost convergence must be related to the some concept of lacunary almost bounded variations in the some view as almost convergence is related to almost bounded variation. The purpose of this paper is to examine this new concept in some details. Some inclusion theorems have been established.
Savaş, Ekrem, Savaş, Ekrem
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Arab Journal of Mathematical Sciences, 2014 In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the ...
Metin Başarır, Şükran Konca
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On Sθ-summability in neutrosophic soft normed linear spaces [PDF]
Neutrosophic Sets and Systems, 2023 For any lacunary sequence θ = (ks), the aim of the present paper is to define Sθ-convergence, Sθ-Cauchy and Sθ-completeness via neutrosophic soft norm. We study certain properties of these notions and give an important characterization of Sθ-convergence ...
Inayat Rasool Ganaie +2 more
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L2 regularity of measurable solutions of a finite-difference equation of the circle [PDF]
, 2004 We show that if $\varphi$ is a lacunary Fourier series and the equation $\psi (x) -\psi (x + \alpha) = \varphi(x), x \bmod 1$ has a measurable solution $\varphi$, then in fact the equation has a solution in L2.
Herman, Michael R.
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A Cartan-Hadamard type result for relatively hyperbolic groups [PDF]
, 2013 In this article, we prove that if a finitely presented group has an asymptotic cone which is tree-graded with respect to a precise set of pieces then it is relatively hyperbolic. This answers a question of M.
Coulon, Rémi +2 more
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Double sequence spaces characterized by lacunary sequences
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savaş, Ekrem, Patterson, Richard F.
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