Fundamental properties of statistical convergence and lacunary statistical convergence on time scales

DOI10.2298/FIL1714455TzbMath1499.40081OpenAlexW2511398365MaRDI QIDQ5020426

Ceylan Turan, Oktay Duman

Publication date: 5 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1714455t

zbMATH Keywords

time scalesdensitystatistical convergencelacunary statistical convergence

Mathematics Subject Classification ID

Ideal and statistical convergence (40A35) Summability methods using statistical convergence (40G15) Real analysis on time scales or measure chains (26E70)

Related Items (12)

Generalization of statistical limit-cluster points and the concepts of statistical limit inferior-superior on time scales by using regular integral transformations ⋮ Δ_λ-Statistical boundedness on time scales ⋮ Lacunary statistical boundedness on time scales ⋮ Examination of generalized statistical convergence of order \(\alpha\) on time scales ⋮ Statistical convergence on non-Newtonian calculus ⋮ On asymptotically statistical equivalent functions on time scales ⋮ λ− Wijsman statistical convergence on time scales ⋮ Statistical convergence of multiple sequences on a product time scale ⋮ Unnamed Item ⋮ Hardy-type Tauberian conditions on time scales ⋮ Statistical convergence of double sequences on product time scales ⋮ αβ−STATISTICAL CONVERGENCE ON TIME SCALES

Cites Work

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• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Lacunary statistical convergence
• Integration on time scales.
• Multiple Lebesgue integration on time scales
• Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Some Cesàro-Type Summability Spaces
• Sur la convergence statistique

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