Asymptotic expansions of the error for hyper-singular integrals with an interval variable
Abstract In this paper, we present high accuracy quadrature formulas for hyper-singular integrals ∫ a b g ( x ) q α ( x , t ) d x $\int_{a}^{b}g(x)q^{\alpha}(x,t)\, dx$ , where q ( x , t ) = | x − t | $q(x,t)=|x-t|$ (or x − t $x-t$ ), t ∈ ( a , b ) $t\in(a,b)$ , and α ≤ − 1 $\alpha\leq-1$ (or α <...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-015-0950-7 |