In the present paper, optimal quadrature formulas in the sense of Sard are constructed fornumerical integration of the integral ∫ a b e 2πiωx φ( x )dx with ω ∈ ℝ in the Sobolev space L 2 ( m ) [ a,b ] ...

The classical Poincaré-Bertrand transposition formula for the inversion of the order of integration in repeated Cauchy-type integrals is generalized in accordance with a new interpretation of ...

Maths Integrals Formulas: The CBSE Class 12 mathematics course is heavily focused on calculus, and Chapter 7 Integrals is one of the lengthiest and most important chapters on the topic. Integrals is ...

Hilbert-type integral inequalities form an essential class of inequalities in mathematical analysis that originate from the classical inequality introduced by David Hilbert. These inequalities have ...

CBSE Class 12 Mathematics Chapter 8 Application of Integrals Revision Notes: With the 2024 board exams around the corner, it's time to put down the books and begin revising the topics. Mathematics is ...