P. B. Kennedy [3] studied lacunary Fourier series whose generating functions are of bounded variation on a subinterval I of [ -π, π ] and satisfy a Lispschitz condition of order α on I. We show that ...

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...