On \(\mathcal{I}\)-asymptotically lacunary statistical equivalent sequences

DOI10.1186/1687-1847-2013-111zbMath1380.40003OpenAlexW2034476566WikidataQ59292794 ScholiaQ59292794MaRDI QIDQ1693525

Ekrem Savaş

Publication date: 31 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-111

zbMATH Keywords

statistical convergenceideal convergencelacunary sequenceasymptotical equivalent

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05)

Related Items (18)

On I -lacunary statistical convergence of weight g of fuzzy numbers ⋮ Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on \(\mathbb{R}^n\) ⋮ Existence of random attractors for the floating beam equation with strong damping and white noise ⋮ Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type ⋮ Unnamed Item ⋮ Wijsman Orlicz asymptotically ideal \(\phi\)-statistical equivalent sequences ⋮ I θ -statistical and p-Cesàro summability of sequences of fuzzy numbers ⋮ Asymptotically I-Lacunary statistical equivalent of order $\alpha$ for sequences of sets ⋮ Unnamed Item ⋮ On asymptotically Wijsman lacunary statistical convergence of set sequences in ideal context ⋮ On asymptotically double lacunary statistical equivalent sequences in ideal context ⋮ Generalized asymptotically I-lacunary statistical equivalent of order α for sequences of sets ⋮ Inclusion theorems associated with a certain new family of asymptotically and statistically equivalent functions ⋮ \(f\)-asymptotically lacunary ideal equivalence of double sequences ⋮ On the generalized ideal asymptotically statistical equivalent of order \(\alpha\) for functions ⋮ Unnamed Item ⋮ I-lacunary summability function of order α ⋮ Iλ-statistically convergent functions of order α

Cites Work

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• On generalizations of certain summability methods using ideals
• Asymptotic equivalence and summability
• Asymptotic equivalence of sequences and summability
• \(\mathcal I\)-convergence
• Analogues of some fundamental theorems of summability theory
• ON STATISTICAL CONVERGENCE
• ON ASYMPTOTICALLY STATISTICAL EQUIVALENT SEQUENCES

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