Abstract We develop two classes of composite moment-free numerical quadratures for computing highly oscillatory integrals having integrable singularities and stationary points. One class of the ...

Non-additive measure theory extends the traditional framework of measure and integration by allowing for measures that do not necessarily satisfy the additivity property. This broader perspective has ...

The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...

Maths Application of Integrals Formulas: Almost half of the CBSE Class 12 mathematics subject is composed of calculus. Both differentiation and integration concepts feature heavily in the curriculum, ...

in this section we're going to cover what we call the fundamental theorem of calculus and as you can guess with a title like that it's pretty darn important basically what we've done in the last ...