Riemann-Stieltjes integral

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Riemann-Stieltjes integral

[¦rē‚män ′stēl·tyəs ‚int·i·grəl]
(mathematics)
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are nondecreasing functions of bounded variation and the integrals are the Riemann-Stieltjes integrals.
To our knowledge, very few authors studied the existence result of positive solution for p-Laplacian fractional order differential systems with boundary conditions involving the Riemann-Stieltjes integrals.
Xiao starts by describing sets, relations, functions, cardinals, ordinals, reals, basic theorems and sequence limits, proceeding to Riemann integrals, Riemann-Stieltjes integrals, Lebesque-Radon-Stieltjes integrals, metric spaces, continuous maps, normed linear spaces, Banach spaces via operators and functionals, and Hilbert spaces and their operators.