リーマン=スティルチェス積分
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2023/06/13 07:57 UTC 版)
参考文献
- Graves, Lawrence (1946), The theory of functions of a real variable, McGraw–Hill.
- Hildebrandt, T. H. (1938), “Definitions of Stieltjes Integrals of the Riemann Type”, The American Mathematical Monthly 45 (5): 265–278, ISSN 0002-9890, JSTOR 2302540, MR1524276.
- Hille, Einar; Phillips, Ralph S. (1974), Functional analysis and semi-groups, Providence, R.I.: American Mathematical Society, MR0423094.
- McShane, E. J. (1952), “Partial orderings & Moore-Smith limit”, The American Mathematical Monthly 59: 1–11 02-11-2010閲覧。.
- Pollard, Henry (1920), “The Stieltjes integral and its generalizations”, Quarterly Journal of Pure and Applied Mathematics 19.
- Riesz, F.; Sz. Nagy, B. (1990), Functional Analysis, Dover Publications, ISBN 0486662896.
- Shilov, G. E.; Gurevich, B. L. (1978), Integral, Measure, and Derivative: A Unified Approach, Dover Publications, ISBN 0-486-63519-8, Richard A. Silverman, trans.
- Stroock, Daniel W. (1998), A Concise Introduction to the Theory of Integration (3rd ed.), Birkhauser, ISBN 0-8176-4073-8.
- Young, L.C. (1936), “An inequality of the Hölder type, connected with Stieltjes integration”, Acta Mathematica 67 (1): 251–282.
- Walter Rudin (2006), Principles of Mathematical Analysis (3rd Revised ed.), Mcgraw-Hill, ISBN 978-0070856134
- Norman B. Haaser; Joseph Arthur Sullivan (1991), Real analysis (new ed.), Dover Publications, ISBN 978-0486665092
- ^ 例えば、(rudin)。
- ^ (Haaser & Sullivan, p. 260)(google books)
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