Approximate set function measurability decomposition and range union inclusion

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  • William D. Appling Austin, Texas, USA
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References

W. D. L. Appling, A Uniqueness Characterization of Absolute Continuity, Monatsh. fur Math., 70 (1966), 2, pp. 97-105, https://doi.org/10.1007/bf01297263

W. D. L. Appling, Some Integral Characterizations of Absolute Continuity, Proc. Amer. Math. Soc., 18(1967), 1, pp. 94-99, https://doi.org/10.1090/s0002-9939-1967-0204607-7

W. D. L. Appling, Addendum to: Some Integral Characterizations of Absolute Continuity, Proc. Amer. Math. Soc., 24 (1970), 4, pp. 788-793, https://doi.org/10.1090/s0002-9939-1970-0255746-6

W. D. L. Appling, A Notion of Measurability for Real-valued Set Functions, Boll. U.M.I., (4) (1973), 7, pp. 42-49.

W. D. L. Appling, Integrability and Closset Approximation Representations, Ann. Mat. Pur. ed Applic., CXVIII (1978), pp. 217-227, https://doi.org/10.1007/bf02415131

W. D. L. Appling, Constructive Representations of Certain Closest Approximations, Ann. Mat., Pur. ed Applic., CXXXI (1982), pp. 187-202, https://doi.org/10.1007/bf01765152

W. D. L. Appling, A Measurability Decomposition Characterization Theorem, Mathematica, 25 (48) (1983), 2, pp. 113-118.

W. D. L. Appling, Zero-One Set functions and Absolute Continuity, Rocky Mountain J. Math., https://doi.org/10.1216/rmjm/1181073154

W. D. L. Appling, Fields of Sets, set Functions, Set Function Integrals and Finite Additivity, expository paper, Internat. J. Math. & Math. Sci., 7 (1984), 2, pp. 209-233, https://doi.org/10.1155/s0161171284000235

W. D. L. Appling, Bell, W. C., Hellinger Integrals and Set Function derivatives, Houston J. of Math., 5 (1971); 4, pp. 465-481.

W. D. L. Appling, A Decompositon of Additive Set Functions, Pacific J. Math., 72 (1977), pp. 305-311, https://doi.org/10.2140/pjm.1977.72.305

W. D. L. Appling, Approximate Hahn Decompositions, Uniform Absolute Continuity and Uniform Integrability, J. Math. Anal. Appl., 45 (1981), 2, pp. 393-405, https://doi.org/10.1016/0022-247x(81)90113-x

W. D. L. Appling, Addendum to: Hellinger Integrals and Set Function Derivatives, Houston J. of Math., 7 (1981), 4, pp. 493-496, https://doi.org/10.1017/cbo9780511805455.008

A. N. Kolmogoroff, Untersuchungen über den Integralbegriff, Math. Ann., 103(1930), pp. 654-696, https://doi.org/10.1007/bf01455714

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Published

1990-08-01

How to Cite

Appling, W. D. (1990). Approximate set function measurability decomposition and range union inclusion. Anal. Numér. Théor. Approx., 19(2), 93–104. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1990-vol19-no2-art1

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Vol. 19 No. 2 (1990)

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