Corpus ID: 199064629

M\"untz Sturm-Liouville Problems: Theory and Numerical Experiments

@inproceedings{KhosravianArab2019MuntzSP,
  title={M\"untz Sturm-Liouville Problems: Theory and Numerical Experiments},
  author={Hassan Khosravian-Arab and Mohammad Reza Eslahchi},
  year={2019}
}
This paper presents two new classes of Müntz functions which are called JacobiMüntz functions of the first and second types. These newly generated functions satisfy in two self-adjoint fractional Sturm-Liouville problems and thus they have some spectral properties such as: orthogonality, completeness, three-term recurrence relations and so on. With respect to these functions two new orthogonal projections and their error bounds are derived. Also, two new Müntz type quadrature rules are… 

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