Uniform integrabblity and the lebesgue theorem on convergence in L 0-valued measures

1996 ◽  
Vol 48 (6) ◽  
pp. 965-969 ◽  
Author(s):  
V. N. Radchenko
Keyword(s):  
Lebesgue Theorem

A Riemann Sum Upper Bound in the Riemann--Lebesgue Theorem

SIAM Review ◽  
1998 ◽  
Vol 40 (2) ◽  
pp. 333-334
Author(s):  
Maurice H. P. M. Van Putten
Keyword(s):  
Upper Bound ◽  
Riemann Sum ◽  
Lebesgue Theorem

Some Generalizations of the Cantor-Lebesgue Theorem

1963 ◽  
Vol 152 (2) ◽  
pp. 95-119
Author(s):  
Thomas E. Mott
Keyword(s):  
Lebesgue Theorem

A Note on some Generalizations of the Riemann-Lebesgue Theorem

1966 ◽  
Vol s1-41 (1) ◽  
pp. 313-317
Author(s):  
Lee Peng-Yee
Keyword(s):  
Lebesgue Theorem

scholarly journals Development of the Theory of the Functions of Real Variables in the First Decades of the Twentieth Century

2020 ◽  
Author(s):  
Loredana Biacino
Keyword(s):  
Twentieth Century ◽  
Calculus Of Variations ◽  
Real Function ◽  
Measure Theory ◽  
Real Variable ◽  
Italian Mathematicians ◽  
Lebesgue Theorem

In (Biacino 2018) the evolution of the concept of a real function of a real variable at the beginning of the twentieth century is outlined, reporting the discussions and the polemics, in which some young French mathematicians of those years as Baire, Borel and Lebesgue were involved, about what had to be considered a genuine real function. In this paper a technical survey of the arising function and measure theory is given with a particular regard to the contribution of the Italian mathematicians Vitali, Beppo Levi, Fubini, Severini, Tonelli etc … and also with the purpose of exposing the intermediate steps before the final formulation of Radom-Nicodym-Lebesgue Theorem and the Italian method of calculus of variations.

Riemann-Lebesgue Theorem

2018 ◽  
pp. 197-202
Author(s):  
Ravi P. Agarwal ◽  
Peter Cristina ◽  
O’Regan Donal
Keyword(s):  
Lebesgue Theorem

The Cantor-Lebesgue Theorem

1979 ◽  
Vol 86 (7) ◽  
pp. 558-565 ◽  
Author(s):  
R. L. Cooke
Keyword(s):  
Lebesgue Theorem

An Optimal Control Formulation of the Blaschke-Lebesgue Theorem

1988 ◽  
Author(s):  
Mostafa Ghandehari
Keyword(s):  
Optimal Control ◽  
Lebesgue Theorem

Some Generalizations of the Riemann-Lebesgue Theorem

1960 ◽  
Vol s1-35 (3) ◽  
pp. 283-293
Author(s):  
F. R. Keogh
Keyword(s):  
Lebesgue Theorem
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