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STATISTICALLY LOCALIZED SEQUENCES IN 2-NORMED SPACES
( Ulaş Yamanci ),( Anar Adiloglu Nabiev ),( Mehmet Gürdal ) 호남수학회 2020 호남수학학술지 Vol.42 No.1
We introduce statistically localized sequences in 2-normed spaces and give some main properties of statistically localized sequences. Also, we prove that a sequence is statistically Cauchy sequence if and only if its statistical barrier is equal to zero. Moreover, we define the uniformly statistically localized sequences on 2-normed spaces and investigate its relationship with statistically Cauchy sequences.
SOME RESULTS FOR THE FRACTIONAL INTEGRAL OPERATOR DEFINED ON THE SOBOLEV SPACES
GURDAL, MEHMET,NABIEV, ANAR ADILOGLU,AYYILDIZ, MERAL The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.1-2
We investigated the invariant subspaces of the fractional integral operator in the Sobolev space W<sup>k</sup><sub>p</sub>[0, 1] and prove unicellularity of the operator J<sup>α</sup> by using the Duhamel product.