We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional integrals and Caputo derivatives. Using ...
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An important class of codes widely used in applications is the class of convolutional codes. Most of the literature of convolutional codes is devoted to convolutional codes over finite fields. The extension of the con...
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The use of Multiple Choice Questions (MCQ) in written tests, supported by the digital scan and automatic correction, has been evaluated using the application of Item Response Theory methodology. A simple detection of ...
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Increasingly, reduction of water availability has been a reality, and population growth, pollution, and climate change have contributed to exacerbating this problem. Dry periods, which occur when precipitation is lowe...
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We show that certain vanishing properties defining closed subspaces of generalized Morrey spaces are preserved under the action of various classical operators of harmonic analysis, such as maximal operators, singular-...
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This work is devoted to analyse an impedance boundary-transmission problem for the Helmholtz equation originated by a problem of wave diffraction by an infinite strip with higher order imperfect boundary conditions. A...
This work is devoted to analyse an impedance boundary-transmission problem for the Helmholtz equation originated by a problem of wave diffraction by an infinite strip with higher order imperfect boundary conditions. A constructive approach of operator relations is built, which allows a transparent interpretation of the problem in an operator theory framework. In particular, different types of operator relations are exhibited for different types of operators acting between Lebesgue and Sobolev spaces on a finite interval and the positive half-line. All this has consequences in the understanding of the structure of this type of problems. In particular, a Fredholm characterization of the problem is obtained in terms of the initial space order *** the request of the author and the Proceedings Editor the above article has been replaced with a corrected version. The original PDF file supplied to AIP Publishing contained an error in the title of the article. The original title appeared as: "The Impedance Problem of Wave Diffraction by a trip with Higher Order Boundary Conditions." This article has been replaced and the title now appears correctly online. The corrected article was published on 8 November 2013.
In this paper, a retuning strategy for a controller is proposed in order to improve the reference BIS tracking in patients, by means of simultaneous administration of propofol and of remifentanil, in the presence of m...
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We obtain an invertibility characterization for Wiener‐Hopf plus Hankel operators with almost periodic symbols on weighted Lebesgue spaces Lp(R+,w), where 1<p<∞ and w belongs to a subclass of Muckenhoupt weigh...
We obtain an invertibility characterization for Wiener‐Hopf plus Hankel operators with almost periodic symbols on weighted Lebesgue spaces Lp(R+,w), where 1
Upper bounds for the kernel dimension of singular integral operators with orientation‐preserving Carleman shift are obtained. This is implemented by using some estimates which are derived with the help of certain exp...
Upper bounds for the kernel dimension of singular integral operators with orientation‐preserving Carleman shift are obtained. This is implemented by using some estimates which are derived with the help of certain explicit operator relations. In particular, the interplay between classes of operators with and without Carleman shifts have a preponderant importance to achieve the mentioned bounds.
In this paper we introduce two integral transforms involving the Legendre function in the kernel (see the operators I0+α,β,μ,v and I−α,β,μ,v . defined below) which generalize the classical Liouville fractional i...
In this paper we introduce two integral transforms involving the Legendre function in the kernel (see the operators I0+α,β,μ,v and I−α,β,μ,v . defined below) which generalize the classical Liouville fractional integrals. Then, we study their boundedness as operators mapping the space ℒv,r into the spaces ℒv−α,r. Moreover, we calculate the Mellin transform of the fractional integrals presented in this paper.
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