Zobrazeno 1 - 10
of 16
pro vyhledávání: '"$\mathcal I$-convergence"'
Publikováno v:
Communications in Advanced Mathematical Sciences, Vol 5, Iss 3, Pp 150-160 (2022)
In this work, we discuss various types of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions. Also, we introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\math
Externí odkaz:
https://doaj.org/article/60a0c7157039416e9487191824870c71
Autor:
Chiranjib Choudhury, Shyamal Debnath
Publikováno v:
Ural Mathematical Journal, Vol 8, Iss 1 (2022)
In this paper, we introduce and investigate the concept of \(A^{\mathcal{I^{K}}}\)-summability as an extension of \(A^{\mathcal{I^{*}}}\)-summability which was recently (2021) introduced by O.H.H.~Edely, where \(A=(a_{nk})_{n,k=1}^{\infty}\) is a non
Externí odkaz:
https://doaj.org/article/9568441849ed4fbdbf58c79c6d42164e
Autor:
Muhammed Recai Türkmen
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-11 (2020)
Abstract In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces. Then, we introduce the
Externí odkaz:
https://doaj.org/article/2c920eac661842378c6534f4b411b817
Autor:
Ömer Kişi, Erdinç Dündar
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-16 (2018)
Abstract In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I2 $\mathcal{I}_{2}$-lacunary statistical lim
Externí odkaz:
https://doaj.org/article/d427d8480448487da746a7f8024beb0c
Publikováno v:
Mathematica Bohemica, Vol 141, Iss 4, Pp 483-494 (2016)
Let $\sum\limits_{n=1}^\infty a_n$ be a convergent series of positive real numbers. L. Olivier proved that if the sequence $(a_n)$ is non-increasing, then $\lim\limits_{n \to\infty} n a_n = 0$. In the present paper: (a) We formulate and prove a neces
Externí odkaz:
https://doaj.org/article/2df7e7362ad54653b0105790a3955eb8
Publikováno v:
Volume: 5, Issue: 3 150-160
Communications in Advanced Mathematical Sciences
Communications in Advanced Mathematical Sciences
In this work, we discuss various kinds of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions and introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\mathcal{I}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ada160c8a8ca6d9b247a163755afcb2
https://doi.org/10.33434/cams.1177174
https://doi.org/10.33434/cams.1177174
Autor:
Erdinç Dündar, Ömer Kişi
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-16 (2018)
In this paper, we introduce and study the notion of rough $\mathcal {I}_{2}$ -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough $\mathcal{I}_{2}$ -lacunary statistical limit set of a d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::955d217c968e37ea4459f7083172e44a
https://doi.org/10.1186/s13660-018-1831-7
https://doi.org/10.1186/s13660-018-1831-7
Autor:
ARSLAN, Mukaddes, DÜNDAR, Erdinç
Publikováno v:
Volume: 6, Issue: 1 57-62
Konuralp Journal of Mathematics
Konuralp Journal of Mathematics
In this paper, we study concepts of $\mathcal{I}$-convergence, $\mathcal{I}^*$-convergence, $\mathcal{I}$-Cauchy and $\mathcal{I}^*$-Cauchy sequences of functions and investigate relationships between them and some properties in $2$-normed spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=tubitakulakb::0fb765be95f88a298ad8c673c74fe37d
https://dergipark.org.tr/tr/pub/konuralpjournalmath/issue/31478/418039
https://dergipark.org.tr/tr/pub/konuralpjournalmath/issue/31478/418039
Autor:
GÜMÜŞ, Hafize, ET, Mikail
Publikováno v:
Volume: 5, Issue: 1 113-122
Konuralp Journal of Mathematics
Konuralp Journal of Mathematics
In this study, we use generalized difference sequences $\Delta ^{m}x=(\Delta ^{m}x_{k})=(\Delta ^{m-1}x_{k}-\Delta ^{m-1}x_{k+1})$ to obtain more general results about weak convergence and we investigate the concept of $\Delta ^{m} \mathcal{I-}$weak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=tubitakulakb::7e55f4b200f3f217546f0eb2d733cbca
https://dergipark.org.tr/tr/pub/konuralpjournalmath/issue/27713/292879
https://dergipark.org.tr/tr/pub/konuralpjournalmath/issue/27713/292879
Publikováno v:
Mediterranean Journal of Mathematics. 7:111-121
In this paper, we study a general Korovkin-type approximation theory by using the notion of ideal convergence which includes many convergence methods, such as, the usual convergence, statistical convergence, A-statistical convergence, etc. We mainly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::562953b4fa261536a75934f4d5199ace
https://doi.org/10.1007/s00009-010-0031-6
https://doi.org/10.1007/s00009-010-0031-6