SINCE the publication of Prof. Zygmund's “Trigonometric Series” in 1935, there has been considerable demand for another book dealing with trigonometric integrals. Prof. Titchmarsh's book meets this ...
In this paper, we first establish the quadrature formulae of proper integrals with weight by trigonometric interpolation. Then we use the method of separation of singularity to derive the quadrature ...
Pointwise rates of convergence for the collocation method applied to periodic singular integral equations and pseudodifferential equations are considered, using trigonometric polynomials of degree n ...