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- Title
Inclusion theorems on general convergence and statistical convergence of (L; 1; 1) - summability using generalized Tauberian conditions.
- Authors
Jena, Bidu Bhusan; Paikray, Susanta Kumar; Misra, Umakanta
- Abstract
Statistical convergence has attracted the attention of researchers due to the fact that it is more general than classical convergence. Recently Móricz [Analysis Mathematica, 40(3) (2014), 231-242] has established a result on statistical extension of classical Tauberian theorem by (L; 1) - summability for a function of a single variable. In this paper some new inclusion theorems are established under Tauberian conditions by (L; 1; 1) - summability of double integrable functions of two variables using oscillating behavior and De la vallée Poussin mean.
- Subjects
SUMMABILITY theory; OSCILLATION theory of difference equations; IMPROPER integrals; TAUBERIAN theorems; INTEGRABLE functions
- Publication
Tamsui Oxford Journal of Information & Mathematical Sciences (TOJIMS), 2017, Vol 31, Issue 1, p101
- ISSN
2222-4424
- Publication type
Article