Global behavior of integral transforms
نویسندگان
چکیده
منابع مشابه
Global Behavior of Integral Transforms
It should be remarked that asymptotic estimates of the behavior of the sine and of other integral transforms of regularly varying functions [6] in terms of the function f (1/x) had been obtained before [7–9], both as x → 0 and as x →∞. However, (1.1) is a global estimate that not only considers the endpoint behavior but also holds for all x > 0. Our aim in this article is to generalize (1.1) in...
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which has the following property Fc(f ∗ g)(x) = (Fcf)(x)(Fcg)(x). (3) The theory of integral transforms related to the Fourier and Mellin convolutions is well developed [2, 6, 10, 11, 12, 13, 19] and has many applications. Some other classes of integral transforms, that are not related to any known convolutions, are considered in [14, 15]. In this paper we investigate integral transforms of the...
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Multilevel algorithms developed for the fast evaluation of integral transforms and the solution of the corresponding integral and integro-diierentialequations rely on smoothnessproperties of the discrete kernel (matrix) and thereby on grid uniformity (see 6], 18]). However, in actual applications, e.g. in contact mechanics, in many cases a substantial increase of eeciency can be obtained using ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2006
ISSN: 1025-5834,1029-242X
DOI: 10.1155/jia/2006/61980