Lacunary Statistical Convergence of Sequences of Real-Valued Functions
We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence. Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/573756 |
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| _version_ | 1849413435693989888 |
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| author | A. Gökhan |
| author_facet | A. Gökhan |
| author_sort | A. Gökhan |
| collection | DOAJ |
| description | We introduce the concepts of the lacunary statistical
convergence of sequences of real-valued functions. We also give the relation
between this convergence and strongly lacunary and pointwise statistical convergence. Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for functional sequences and prove that it is equivalent to lacunary statistical convergence of sequences of real-valued functions. |
| format | Article |
| id | doaj-art-69cc407414924ffd9f8e2fb875b9bda9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-69cc407414924ffd9f8e2fb875b9bda92025-08-20T03:34:08ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/573756573756Lacunary Statistical Convergence of Sequences of Real-Valued FunctionsA. Gökhan0Department of Secondary Science and Mathematics Education, Firat University, 23119 Elaziğ, TurkeyWe introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence. Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for functional sequences and prove that it is equivalent to lacunary statistical convergence of sequences of real-valued functions.http://dx.doi.org/10.1155/2013/573756 |
| spellingShingle | A. Gökhan Lacunary Statistical Convergence of Sequences of Real-Valued Functions Journal of Mathematics |
| title | Lacunary Statistical Convergence of Sequences of Real-Valued Functions |
| title_full | Lacunary Statistical Convergence of Sequences of Real-Valued Functions |
| title_fullStr | Lacunary Statistical Convergence of Sequences of Real-Valued Functions |
| title_full_unstemmed | Lacunary Statistical Convergence of Sequences of Real-Valued Functions |
| title_short | Lacunary Statistical Convergence of Sequences of Real-Valued Functions |
| title_sort | lacunary statistical convergence of sequences of real valued functions |
| url | http://dx.doi.org/10.1155/2013/573756 |
| work_keys_str_mv | AT agokhan lacunarystatisticalconvergenceofsequencesofrealvaluedfunctions |