Multipliers for generalized Riemann integrals in the real line

Tuo-Yeong Lee

Mathematica Bohemica (2006)

  • Volume: 131, Issue: 2, page 161-166
  • ISSN: 0862-7959

Abstract

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We use an elementary method to prove that each B V function is a multiplier for the C -integral.

How to cite

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Lee, Tuo-Yeong. "Multipliers for generalized Riemann integrals in the real line." Mathematica Bohemica 131.2 (2006): 161-166. <http://eudml.org/doc/249906>.

@article{Lee2006,
abstract = {We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-integral.},
author = {Lee, Tuo-Yeong},
journal = {Mathematica Bohemica},
keywords = {multiplier; $C$-integral; $BV$ function; -integral; function},
language = {eng},
number = {2},
pages = {161-166},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multipliers for generalized Riemann integrals in the real line},
url = {http://eudml.org/doc/249906},
volume = {131},
year = {2006},
}

TY - JOUR
AU - Lee, Tuo-Yeong
TI - Multipliers for generalized Riemann integrals in the real line
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 2
SP - 161
EP - 166
AB - We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-integral.
LA - eng
KW - multiplier; $C$-integral; $BV$ function; -integral; function
UR - http://eudml.org/doc/249906
ER -

References

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  4. 10.1007/s10587-004-6420-x, Czechoslovak Math. J. 54 (2004), 717–725. (2004) Zbl1080.26003MR2086728DOI10.1007/s10587-004-6420-x
  5. On the problem of nearly derivatives, Sci. Math. Jpn. 61 (2005), 299–311. (2005) Zbl1077.26005MR2123887
  6. A Riemann-type minimal integral for the classical problem of primitives, Rend. Istit. Mat. Univ. Trieste 34 (2002 2003), 143–153. (2002 2003) MR2013947
  7. The Integrals of Lebesgue, Denjoy, Perron, and Henstock, Graduate Studies in Mathematics, AMS, 1994. (1994) Zbl0807.26004MR1288751
  8. The integral, An Easy Approach after Kurzweil and Henstock, Australian Mathematical Society Lecture Series 14, Cambridge University Press, 2000. MR1756319
  9. Differential and Integral Equations. Boundary Value Problems and Adjoints, D. Reidel Publishing Co., Dordrecht-Boston, Mass.-London, 1979. (1979) MR0542283

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