On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence

DOI10.1016/J.AJMSC.2013.09.002zbMath1312.46006OpenAlexW2020027080MaRDI QIDQ465038

Metin Başarır, Şükran Konca

Publication date: 31 October 2014

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2013.09.002

zbMATH Keywords

sequence spacestrong summabilitylacunary convergent sequencesNörlund-type meanweighted lacunary statistical convergence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Absolute and strong summability (40F05) Ideal and statistical convergence (40A35)

Related Items (6)

Weighted modulus \(S_\theta\)-convergence of order \(\alpha\) in probability ⋮ On some spaces of almost lacunary convergent sequences derived by Riesz mean and weighted almost lacunary statistical convergence in a real \(n\)-normed space ⋮ Weighted lacunary statistical convergence ⋮ On I-lacunary statistical convergence of order α of sequences of sets ⋮ Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems ⋮ Different types of quasi-weighted αβ-statistical convergence in probability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some generalized difference statistically convergent sequence spaces in 2-normed space
• On the \(B\)-difference sequence space derived by generalized weighted mean and compact operators
• On the Riesz almost convergent sequences space
• Weighted statistical convergence and its application to Korovkin type approximation theorem
• On statistical exhaustiveness
• On compact operators on the Riesz \(B^m\)-difference sequence space
• Statistical convergence of double sequences in intuitionistic fuzzy normed spaces
• On generalized statistical convergence in intuitionistic fuzzy normed space
• Summability in topological spaces
• Difference sequence spaces derived by using a generalized weighted mean
• \(\lambda\)-statistical convergence of order \(\alpha\)
• Statistical convergence in function spaces
• On some difference sequence spaces of weighted means and compact operators
• Some paranormed Riesz sequence spaces of non-absolute type
• Generalization of the sequence space \(\ell (p)\) derived by weighted mean
• Statistical convergence in topology
• On the Riesz difference sequence space
• On the generalized \(B^m\)-Riesz difference sequence space and \(\beta\)-property
• On strong almost \(A\)-summability with respect to a modulus and statistical convergence
• Lacunary statistical convergence
• Lacunary statistical convergence in topological groups
• On the paranormed Riesz sequence spaces of non-absolute type
• Some sequence spaces defined by \(|\bar N, p_n|\) summability and an Orlicz function
• \(\mathcal I\)-convergence
• Lacunary statistical summability
• On compact operators on the Riesz \(B^m\)-difference sequence spaces. II
• Summability in topological groups
• Tauberian conditions under which statistical convergence follows from statistical summability by weighted means
• Double lacunary density and lacunary statistical convergence of double sequences
• $\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces
• On ideal convergence in probabilistic normed spaces
• The Integrability of Certain Functions and Related Summability Methods
• A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE
• On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Statistical convergence in a locally convex space
• Some Cesàro-Type Summability Spaces
• On the generalized Riesz B-difference sequence spaces
• Sur la convergence statistique
• Generalized Asymptotic Density

This page was built for publication: On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence