Lacunary Statistically $\phi$- Convergence
Lacunary Statistically $\phi$- Convergence
Summary: In this paper by using the lacunary sequence and Orlicz function \(\phi \), we introduce a new concept of lacunary statistically \(\phi \)-convergence, as a generalization of the statistical \(\phi\)-convergence and \(\phi\)-convergence. Based on this concepts, we introduce a new sequence space \( S_{\theta}-\phi\) and investigate some of its basic properties. Also studied are some inclusion relations.
- University of Salento Italy
\( \phi\)-convergence, Matrix methods for summability, Orlicz function, $\phi-$convergence, lacunary sequence, statistical convergence, 540, Ideal and statistical convergence, 510, Inclusion and equivalence theorems in summability theory
\( \phi\)-convergence, Matrix methods for summability, Orlicz function, $\phi-$convergence, lacunary sequence, statistical convergence, 540, Ideal and statistical convergence, 510, Inclusion and equivalence theorems in summability theory
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