Sequential definitions of continuity for real functions.
From MaRDI portal
Publication:1414969
DOI10.1216/rmjm/1181069988zbMath1040.26001OpenAlexW2004688262MaRDI QIDQ1414969
Jeff Connor, Karl-Goswin Grosse-Erdmann
Publication date: 3 December 2003
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol33-1/CONT33-1/CONT33-1.html
almost convergencestatistical convergencelinear functionallinearity\(G\)-continuityCesàro continuity
Related Items
A study on statistical versions of convergence of sequences of functions ⋮ \(G\)-methods, \(G\)-sequential spaces and \(G\)-continuity in topological spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Variations on the strongly lacunary quasi Cauchy sequences ⋮ Abel statistical quasi Cauchy sequences ⋮ On arithmetic continuity in metric spaces ⋮ A study on \(N_\theta\)-quasi-Cauchy sequences ⋮ On λ statistical upward compactness and continuity ⋮ Ideal quasi-Cauchy sequences ⋮ Lacunary statistically slowly oscillating continuity in abstract spaces ⋮ A variation on statistical ward continuity ⋮ A variation on \(N_\theta\) ward continuity ⋮ On μ– statistical uniform convergence and Dini’s theorem ⋮ How large is the space of almost convergent sequences? ⋮ On $G$-quotient Mappings and Networks Defined by $G$-convergence ⋮ On \(\Delta \)-quasi-slowly oscillating sequences ⋮ Sequential definitions of connectedness ⋮ On \(\mu\)-strong Cesaro summability at infinity and its application to the Fourier-Stieltjes transforms ⋮ Statistical convergence of functional sequences ⋮ \(N_\theta\)-ward continuity ⋮ Unnamed Item ⋮ Sequential definitions of compactness ⋮ Slowly oscillating continuity ⋮ \(\delta \)-quasi-Cauchy sequences ⋮ On \(G\)-continuity ⋮ On real-valued measures of statistical type and their applications to statistical convergence ⋮ New kinds of continuities ⋮ New types of continuities ⋮ \(\Delta \)-quasi-slowly oscillating continuity ⋮ Unnamed Item ⋮ On downward half Cauchy sequences ⋮ Statistical continuity in probabilistic normed spaces ⋮ On \(\mathcal{I}\)-neighborhood spaces and \(\mathcal{I}\)-quotient spaces ⋮ Criteria for statistical convergence with respect to power series methods ⋮ On the uniqueness of \(\mathcal{I}\)-limits of sequences ⋮ Fuzzy compactness via summability ⋮ Measure theory of statistical convergence ⋮ Unnamed Item ⋮ Unnamed Item ⋮ CESARO AND STATISTICAL DERIVATIVE ⋮ Statistical convergence in 2-metric spaces ⋮ The G-connected property and G-topological groups ⋮ On $\mu $-statistical convergence ⋮ Beyond cauchy and quasi-Cauchy sequences ⋮ G-connectedness in topological groups with operations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A criterion for \(A\)-statistical convergence
- On \(A\)-continuity of real functions
- Strong and ordinary summability
- A contribution to the theory of divergent sequences
- Über die Darstellbarkeit von Limitierungsverfahren mittels Matrixtransformationen
- Statistical Limit Points
- An Addendum to "A Note on Subsequences"
- The Integrability of Certain Functions and Related Summability Methods
- Summability-Preserving Functions
- Two valued measures and summability
- ON STATISTICAL CONVERGENCE
- THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
- Consistency Theorems for Almost Convergence
- Sur la convergence statistique