Lacunary statistical convergence of order \(\alpha, \beta\) for generalized vector-valued difference sequence spaces

DOI10.1007/s41478-019-00188-yzbMath1458.40009OpenAlexW2953937298MaRDI QIDQ2004384

A. K. Verma, Sudhanshu Kumar

Publication date: 14 October 2020

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-019-00188-y

zbMATH Keywords

modulus functionstatistical convergenceparanormed spacelacunary sequencedifference sequence space

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Ideal and statistical convergence (40A35)

Cites Work

• Lacunary statistical convergence
• On statistically convergent and statistically Cauchy sequences
• On lacunary statistical convergence of order \(\alpha\)
• On generalized difference lacunary statistical convergence in a paranormed space
• Statistical Convergence of Order α for Difference Sequences
• The Integrability of Certain Functions and Related Summability Methods
• ON STATISTICAL CONVERGENCE
• Sequence spaces defined by a modulus
• Statistical convergence in a locally convex space
• Some Cesàro-Type Summability Spaces
• On Certain Sequence Spaces
• Some Cesàro-type summability spaces defined by a modulus function of order (α;β)
• On Sαβ(θ)-convergence and strong Nαβ(θ,p)-summability
• F-lacunary statistical convergence and strong f-lacunary summability of order α
• Sur la convergence statistique
• On Köthe-Toeplitz duals of generalized difference sequence spaces
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