Stieltjes Integral

The Stieltjes integral is a generalization of the Riemann Integral. Let and be real-values boundedfunctions defined on a Closed Interval . Take a partition of the Interval

(1)

(2)

(3)

(4)

(5)

References

Dresher, M. The Mathematics of Games of Strategy: Theory and Applications. New York: Dover, 1981.

Hardy, G. H.; Littlewood, J. E.; and Pólya, G. Inequalities, 2nd ed. Cambridge, England: Cambridge University Press, pp. 152-155, 1988.

Kestelman, H. ``Riemann-Stieltjes Integration.'' Ch. 11 in Modern Theories of Integration, 2nd rev. ed. New York: Dover, pp. 247-269, 1960.

• HighLife
• Highly Abundant Number
• Highly Composite Number
• Higman-Sims Group
• Hilbert Basis Theorem
• Hilbert Curve
• Hilbert Function
• Hilbert Hotel
• Hilbert Matrix
• Hilbert Number
• Hilbert Polynomial
• Hilbert's Axioms
• Hilbert-Schmidt Norm
• Hilbert-Schmidt Theory
• Hilbert's Constants
• Hilbert's Inequality
• Hilbert's Nullstellansatz
• Hilbert Space
• Hilbert's Problems
• Hilbert's Theorem
• Hilbert Transform
• Hillam's Theorem
• Hill Determinant
• Hill's Differential Equation
• Hindu Check