970 resultados para Tail-approximation


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ACM Computing Classification System (1998): G.1.2.

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2000 Mathematics Subject Classification: 62G32, 62G05.

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The deviations of some entire functions of exponential type from real-valued functions and their derivatives are estimated. As approximation metrics we use the Lp-norms and power variations on R. Theorems presented here correspond to the Ganelius and Popov results concerning the one-sided trigonometric approximation of periodic functions (see [4, 5 and 8]). Some related facts were announced in [2, 3, 6 and 7].

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We introduce a modification of the familiar cut function by replacing the linear part in its definition by a polynomial of degree p + 1 obtaining thus a sigmoid function called generalized cut function of degree p + 1 (GCFP). We then study the uniform approximation of the (GCFP) by smooth sigmoid functions such as the logistic and the shifted logistic functions. The limiting case of the interval-valued Heaviside step function is also discussed which imposes the use of Hausdorff metric. Numerical examples are presented using CAS MATHEMATICA.

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AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20

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MSC 2010: 41A25, 41A35

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2000 Mathematics Subject Classification: 26E25, 41A35, 41A36, 47H04, 54C65.

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2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20.

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AMS classification: 41A36, 41A10, 41A25, 41Al7.

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AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.

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Book review: Heidelberg, Dordrecht, London, and New York, Springer, 2010, 189 pp., £93.55 (hardcover), ISBN 978-3-642-04330-7, e-ISBN 978-3-642-04331-4

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Our basic storyline is how the business and economics higher education landscape has changed with the introduction of the Bologna programs. We borrowed the fashionable long tail concept from e-business, and used it for modeling the new landscape of internationalization of universities. Internationalization, mobility, and the appearance of the internet generation at the gates of our universities in our opinion has brought us to a new e-era which, appropriately to our web analogies we might as well call Education 2.0.In our paper first we show the characteristics of the long tail model of the Bologna-based European higher education and potential messages for strategy making in this environment. We illustrate that benchmarking university strategies situated in the head of the long tail model will not always provide strategic guidance for universities sitting in the tail. For underlining some key concerns in the Hungarian niche, we used Corvinus University as a case study to illustrate some untapped challenges of the Hungarian Bologna reform. We explored three areas which are crucial elements of the “tail” strategy in our opinion: a) the influence of state regulation, b) social situations and impacts and c) internal university capabilities.