Výsledky vyhledávání - "İbrahim Çanak"

Akademický článek

On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$

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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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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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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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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Akademický článek

On a Tauberian theorem for the weighted mean method of summability

Autor: SEFA ANIL SEZER, İBRAHİM ÇANAK

Publikováno v: Kuwait Journal of Science, Vol 42, Iss 3 (2015)

We investigate conditions needed for a weighted mean summable series to beconvergent by using Kloosterman’s method. The results of this paper generalize thewell known results of Landau and Hardy.

Externí odkaz: https://doaj.org/article/20d42d3cbb464f88b68d428027f3f4ba

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Akademický článek

New Types of Continuities

Autor: İbrahim Çanak, Mehmet Dik

Publikováno v: Abstract and Applied Analysis, Vol 2010 (2010)

A new concept of quasi slowly oscillating continuity is introduced. Furthermore, it is shown that this kind of continuity implies ordinary continuity, but the converse is not always true.

Externí odkaz: https://doaj.org/article/8700c22451af4d9cadb057a2f03f14a4

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Akademický článek

Subsequential Convergence Conditions

Autor: İbrahim Çanak, Ümit Totur, Mehmet Dik

Publikováno v: Journal of Inequalities and Applications, Vol 2007 (2007)

Let (un) be a sequence of real numbers and let L be any (C,1) regular limitable method. We prove that, under some assumptions, if a sequence (un) or its generator sequence (Vn(0)(ÃŽÂ”u)) generated regularly by a sequence in a class Ã°ÂÂ’Â

Externí odkaz: https://doaj.org/article/63c394e762fe4e819e688ffd6542d6cd

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