Denjoy Integral

A type of Integral which is an extension of both the Riemann Integral and the Lebesgue Integral. Theoriginal Denjoy integral is now called a Denjoy integral ``in the restricted sense,'' and a more general type is nowcalled a Denjoy integral ``in the wider sense.'' The independently discovered Peron Integral turns out to beequivalent to the Denjoy integral ``in the restricted sense.''

References

Iyanaga, S. and Kawada, Y. (Eds.). ``Denjoy Integrals.'' §103 in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 337-340, 1980.

Kestelman, H. ``General Denjoy Integral.'' §9.2 in Modern Theories of Integration, 2nd rev. ed. New York: Dover, pp. 217-227, 1960.

• Orthogonal Circles
• Orthogonal Curves
• Orthogonal Functions
• Orthogonal Group
• Orthogonal Group Representations
• Orthogonality Condition
• Orthogonality Theorem
• Orthogonal Lines
• Orthogonal Matrix
• Orthogonal Polynomials
• Orthogonal Projection
• Orthogonal Rotation Group
• Orthogonal Tensors
• Orthogonal Transformation
• Orthogonal Vectors
• Orthographic Projection
• Orthologic
• Orthonormal Basis
• Orthonormal Functions
• Orthonormal Vectors
• Orthopole
• Orthoptic Curve
• Orthotomic
• Orthotope
• Osborne's Rule