Zobrazeno 1 - 10 of 172 pro vyhledávání: '"İbrahim Çanak"'
1
Akademický článek
On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$
Autor: Gökşen Fındık, İbrahim Çanak
Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
Moricz [Analysis (Munich) 18(1) (1998), 1-8] characterized summability (C,1) of integrals by convergence of another integral. In this work, we extend this result to logarithmic summability (L,1) of integrals.
Externí odkaz: https://doaj.org/article/7e74c15a96f14daa869e3198d0a7a306
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2
Akademický článek
Necessary and sufficient Tauberian conditions under which convergence follows from $A^{r,\delta}$ summability
Autor: Çagla Kambak, İbrahim Çanak
Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
Let $x=(x_{mn})$ be a double sequence of real or complex numbers. The $A^{r,\delta}$-transform of a sequence $(x_{mn})$ is defined by $$ (A^{r,\delta}x)_{mn}={\sigma^{r,\delta}_{mn}(x)}=\frac{1}{(m+1)(n+1)}\sum_{j=0}^{m}\sum_{k=0}^{n}(1+r^j)(1+\delta
Externí odkaz: https://doaj.org/article/e66d2ef4557f4022ad9fd94f895364d7
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5
Akademický článek
Tauberian theorems for the product of weighted and Cesàro summability methods for double sequences
Autor: Gökşen Fındık, İbrahim Çanak
Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 38, Iss 7 (2019)
In this paper, we obtain necessary and sufficient conditions, under which convergence of a double sequence in Pringsheim's sense follows from its weighted-Cesaro summability. These Tauberian conditions are one-sided or two-sided if it is a sequence o
Externí odkaz: https://doaj.org/article/f45fb5eada1b48489e88227de29ba0e6
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9
Tauberian conditions under which convergence follows from the weighted mean summability and its statistical extension for sequences of fuzzy number
Autor: İbrahim Çanak, Zerrin Önder
Publikováno v: Ukrains’kyi Matematychnyi Zhurnal. 73:1085-1101
UDC 517.5 Let $(p_n)$ be a sequence of nonnegative numbers such that $p_0>0$ and$$P_n:=\sum_{k=0}^{n}p_k\to\infty\qquad \text{as}\qquad n\to\infty.$$Let $(u_n)$ be a sequence of fuzzy numbers.The weighted mean of $(u_n)$ is defined by$$t_n:=\frac{1}{
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::589d24b0a2f53c1be8c31076418a668a
https://doi.org/10.37863/umzh.v73i8.584
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10
Akademický článek
Some extended Tauberian theorems for (A)(k) (C, α) summability method
Autor: İbrahim Çanak
Publikováno v: Acta Scientiarum: Technology, Vol 36, Iss 4, Pp 679-683 (2014)
In this paper, some new Tauberian conditions are introduced for (A)(k) (C, α) summability method.
Externí odkaz: https://doaj.org/article/97caeb25d3ba475b8645ef1605e1ebbb
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