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Full-Text Articles in Physical Sciences and Mathematics

On Spaces Of Generalized Dirichlet Series, M. Dragilev Jan 1996

On Spaces Of Generalized Dirichlet Series, M. Dragilev

Turkish Journal of Mathematics

It is considered the relationship between spaces L_f(\lambda,\sigma) and subspaces of the space A_1(\bar{A}_1) of analytic functions in the open (closed) unit disc, generated by systems F(\alpha_nz), n\in N, if they constitute a basis in their closure.


Zeros Of Derivatives Of Dirichlet L-Functions, C. Yalçin Yildirim Jan 1996

Zeros Of Derivatives Of Dirichlet L-Functions, C. Yalçin Yildirim

Turkish Journal of Mathematics

In this paper diverse results on the location and number of zeros of derivatives of Dirichlet L-functions are proved.


On (\Sigma,\Tau) Derivations With Module Values, M. Soytürk Jan 1996

On (\Sigma,\Tau) Derivations With Module Values, M. Soytürk

Turkish Journal of Mathematics

Let R be a ring, X\neq (0) an R-bi-module, d: R\ra X a(\sigma,\tau)- derivation with module value such that d\sigma=\sigma d, d\tau=\tau d and U\neq (0) an ideal of R. Furthermore the following properties are also satisfied. \begin{eqnarray*} && \mbox{For }x\in X, a\in R\quad x Ra=0 \mbox{ implies } x=0 \mbox{ or } a=0 \ldots\ldots (G_{1})\\ && \mbox{For }a\in R, x\in X \quad a Rx=0 \mbox{ implies } a=0 \mbox{ or } x=0 \ldots\ldots (G_{2}) \end{eqnarray*} \noindent In this paper we have proved the following results; (1) If (G_{1}) (or (G_{2})) is satisfied and for a \in R, d(U) a=0 …


On The \Ell_{P} Norms Of Almost Cauchy-Toeplitz Matrices, D. Bozkurt Jan 1996

On The \Ell_{P} Norms Of Almost Cauchy-Toeplitz Matrices, D. Bozkurt

Turkish Journal of Mathematics

In this study, we have given the definition of almost Cauchy-Toeplitz matrix. i.e. its elements are t_{ij}= a(i=j) and t_{ij}=1/(i-j)\, (i\neq j) such that a is a real number. We have found a lower and upper bounds for the \ell_{p} norm of this matrix. Furthermore, we have done the proof of the conjecture that were given by myself for the spectral norm of this matrix.