Evaluation of Generalized Howland Integrals
نویسندگان
چکیده
منابع مشابه
Evaluation of Integrals of Howland Type Involving a Bessel Function
This paper presents a method of evaluation of four integrals of Howland type, which involve a Bessel function in the integrands. With the aid of tabulated values, they are evaluated to 10D. Two of the four Howland integrals needed in the evaluation are evaluated anew to 20D in order to provide adequate accuracy. In a recent investigation of certain problems in elasticity concerning elliptic bou...
متن کاملA New Method of Evaluation of Howland Integrals
In this paper, two Howland integrals are evaluated to 25D when the index is an odd integer. Those Howland integrals when the index is an even integer have been evaluated to 18D by Nelson. A new method of evaluation is used. The four Howland integrals were first evaluated to 5D by Howland himself, partly with Stevenson, in the papers dealing with a perforated strip [1], [2]. Ling and Nelson in a...
متن کاملGeneralized Integrals and Differential Equations.
in which a and b are continuously differentiate functions of two variables, fix) a continuously difierentiable function. The routine estimate of fadb gives bounds depending either on /| d/(x) | or on the maximum of | df/dx\ in the interval of integration. It is, however, possible, as shown in Theorem 1, to give a bound that is entirely independent'of the derivative of fix), and, consequently, t...
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Fuzzy integral is an important tool to study fuzzy differential equations. Under normal circumstances, there are two basic limitations: limited of integral interval and boundedness of integrand. However, in practical problems, it is difficult to calculate when integral interval is not common interval. Then fuzzy integral on infinite interval is taken into consideration. In this paper, definitio...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1982
ISSN: 0025-5718
DOI: 10.2307/2007293