2015
DOI: 10.1016/j.amc.2015.04.066
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Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

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Cited by 18 publications
(4 citation statements)
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“…This solution satisfies conditions (9) and the equality (10). It should be noted that the existence and uniqueness of the solution for such type of systems were studied, for example, in [40,43,45].…”
Section: Construction Of Optimal Quadrature Formulas For the Interval [0 1]mentioning
confidence: 99%
“…This solution satisfies conditions (9) and the equality (10). It should be noted that the existence and uniqueness of the solution for such type of systems were studied, for example, in [40,43,45].…”
Section: Construction Of Optimal Quadrature Formulas For the Interval [0 1]mentioning
confidence: 99%
“…Many methods have been developed to construct the quadrature formulas for the singular integral (1.2). See for example, [1,5,6,7,8,9,12,14,15,16,19,21,25,26] and literature cited therein.…”
Section: Introduction Statement Of the Problemmentioning
confidence: 99%
“…, ψ is the extremal function of the quadrature formula (1.3) in the space L (m) 2 (−1, 1) (see for instance, [4,23,24,26]), sgn(x) is the signum function.…”
Section: Introduction Statement Of the Problemmentioning
confidence: 99%
“…To the problem of approximate integration of the Cauchy type singular integrals are devoted many works (see, for instance, [1,4,5,6,7] and references therein).…”
Section: Introductionmentioning
confidence: 99%