Results 31 to 40 of about 176 (63)

Looking backward: From Euler to Riemann

, 2017
We survey the main ideas in the early history of the subjects on which Riemann worked and that led to some of his most important discoveries. The subjects discussed include the theory of functions of a complex variable, elliptic and Abelian integrals ...
A Papadopoulos, A Weil, A Weil, AB Kempe, AB Niewenglowski, AP Youschkevitch, AW Knapp, B Riemann, B Riemann, B Riemann, B Riemann, C Huffman, CF Gauss, GH Moore, GW Leibniz, H Grassmann, H Lebesgue, H Lebesgue, H Poincaré, I Kant, J Dutka, J-C Pont, J-L-F Bertrand, J-M Thiel, J-P-F Valat, JD Gergonne, KA Andreiev, L Poinsot, L Poinsot, LJ Goldstein, LV Ahlfors, M Feil, NH Abel, NL Biggs, NV Bougaïev, O Rodrigues, P Appell, P Carus, P Hilton, P-M-E Prouhet, P-M-E Prouhet, PH Fuss, R Descartes, R Remmert, R Thom, S-A-J Lhuillier, S-D Poisson, WP Thurston, É Picard   +48 more
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An extension of the Cartwright-McMullen theorem in fractional calculus for the smooth Stieltjes case

, 2023
In 1976, Donald Cartwright and John McMullen characterized axiomatically the Riemann-Liouvile fractional integral in a paper that was published in 1978. The motivation for their work was to answer affirmatively to a conjecture stated by J. S.
Labora, Daniel Cao
core  

On the Almost Everywhere Continuity

, 2014
The aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] $\rightarrow$ R. These characterizations permit to obtain necessary and sufficient conditions for the Riemann integrability of f
Blot, Joël
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Evaluations of the improper integrals ∫ 0 ∞ [sin 2m (αx)]/(x 2n)] cos(bx) dx and ∫ 0 ∞ [sin 2m+1 (αx)]/(x 2n+1 )] cos(bx)dx [PDF]

, 2002
In this article, using L’Hospital rule, mathematical induction, the trigonometric power formulae and integration by parts, some integral formulae for improper integrals ∫ 0 ∞ [sin 2m (αx)]/(x 2n)] cos(bx) dx and ∫ 0 ∞ [sin 2m+1 (αx)]/(x 2n+1 )] cos(bx)dx
Luo, Qiu-Ming, Qi, Feng
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The Fourier transform in Lebesgue spaces

, 2023
For each $f\in L^p({\mathbb R)}$ ($1\leq ...
Talvila, Erik
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Henstock-Kurzweil integrals on time scales [PDF]

, 2008
A definition for a version of the Henstock-Kurzweil integral on time scales is given using covering arguments. The integral is shown to be expressible, in some situations, as an ordinary integral in the Newton, the Lebesgue, and Henstock-Kurzweil senses.
Brian S Thomson
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Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation

, 2001
A solution to the more than 300-years old problem of geometric and physical interpretation of fractional integration and differentiation (i.e., integration and differentiation of an arbitrary real order) is suggested for the Riemann-Liouville fractional ...
Podlubny, Igor
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microRNAs in heart disease: putative novel therapeutic targets? [PDF]

Eur Heart J, 2010
Condorelli G, Latronico MV, Dorn GW.
europepmc   +1 more source

Convergence; an investigation into the normal standards of age groups. [PDF]

Br J Ophthalmol, 1949
MELLICK A.
europepmc   +1 more source

Infinite dimensional Banach spaces of functions with nonlinear properties [PDF]

, 2010
Garcia, D., Grecu, B. C., Maestre, M., Seoane-Sepúlveda, J. B.   +3 more
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