Yazar "Demirci, Kamil" seçeneğine göre listele

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    A-statistical core of a sequence
    (Walter de Gruyter GmbH, 2000) Demirci, Kamil
    In this paper we extend the concepts of statistical limit superior and inferior (as introduced by FVidy and Orhan) to A-statistical limit superior and inferior and give some A-statistical analogue of properties of statistical limit superior and inferior for a sequence of real numbers. Also we extend the concept of statistical core to A-statistical core and get necessary and sufficient conditions on a matrix T so that the Knopp core of Tx is contained in the A-statistical core of a bounded complex number sequence x. © 2000 Warsaw University. All rights reserved.
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    Multipliers and factorizations for bounded statistically convergent sequences
    (2002) Connor, Jeff; Demirci, Kamil; Orhan, C.
    Let n be a density and and denote the bounded statistically convergent and statistically null sequences, respectively. A variety of multiplier results, such is statistically convergent for a broad class of densities. © 2014, Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München. All rights reserved.
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    On lacunary statistical limit points
    (Walter de Gruyter GmbH, 2002) Demirci, Kamil
    This paper we study the concepts of lacunary statistical limit points and lacunary statistical cluster points as well as the concept of lacunary statistical core for a bounded complex number sequence. © 2002 Warsaw University. All rights reserved.
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    Strong and A-statistical comparisons for sequences
    (Academic Press Inc Elsevier Science, 2003) Demirci, Kamil; Khan, M. Kazım; Orhan, Cihan
    Let T and A be two nonnegative regular summability matrices and W(T, p) boolean AND l(infinity) and c(A) (b) denote the spaces of all bounded strongly T-summable sequences with index p > 0, and bounded summability domain of A, respectively. In this paper we show, among other things, that chi(N) is a multiplier from W (T, p) boolean AND l(infinity) into c(A) (b) if and only if any subset K of positive integers that has T-density zero implies that K has A-density zero. These results are used to characterize the A-statistical comparisons for both bounded as well as arbitrary sequences. Using the concept of A-statistical Tauberian rate, we also show that chi(N) is not a multiplier from W (T, p) boolean AND l(infinity) into c(A) (b) that leads to a Steinhaus type result. (C) 2003 Elsevier Science (USA). All rights reserved.