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Displaying 121 – 140 of 143

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Statistical extensions of some classical Tauberian theorems in nondiscrete setting

Ferenc Móricz (2007)

Colloquium Mathematicae

Schmidt’s classical Tauberian theorem says that if a sequence ( s k : k = 0 , 1 , . . . ) of real numbers is summable (C,1) to a finite limit and slowly decreasing, then it converges to the same limit. In this paper, we prove a nondiscrete version of Schmidt’s theorem in the setting of statistical summability (C,1) of real-valued functions that are slowly decreasing on ℝ ₊. We prove another Tauberian theorem in the case of complex-valued functions that are slowly oscillating on ℝ ₊. In the proofs we make use of two nondiscrete...

Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers

Zerrin Önder, İbrahim Çanak, Ümit Totur (2017)

Open Mathematics

In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general. We obtain that the statistically (C, 1, 1) summable double sequence of fuzzy numbers is convergent and statistically convergent to the same number under the slowly oscillating and statistically slowly oscillating conditions in certain senses, respectively....

Translativity of absolute weighted mean summability

Cihan Orhan (1998)

Czechoslovak Mathematical Journal

In this paper, we give necessary and sufficient conditions on ( p n ) for | R , p n | k , k 1 , to be translative. So we extend the known results of Al-Madi [1] and Cesco 4 to the case k > 1 .

Currently displaying 121 – 140 of 143