منابع مشابه
On indefinite BV-integrals
In 1986 Bruckner, Fleissner and Foran [2] obtained a descriptive definition of a minimal extension of the Lebesgue integral which integrates the derivative of any differentiable function. Recently, Bongiorno, Di Piazza and Preiss [1] showed that this minimal integral can be obtained from McShane’s definition of the Lebesgue integral [4] by imposing a mild regularity condition on McShane’s parti...
متن کاملA Note on Indefinite Integrals
1. G. H. Hardy and M. Riesz, The general theory of Dirichlet's series, London, 1915. 2. E. Kogbetliantz, Sur la sommation des séries divergentes par les moyennes simples et doubles, Ann. École Norm. (3) vol. 42 (1925) pp. 193-216. 3. Otto Szász, Verallgemeinerung eines Littlewood'sehen Salzes über Potenzreihen, J. London Math. Soc. vol. 3 (1928) pp. 254-262. 4. A. Zygmund, Remarque sur la somma...
متن کاملA generalized fractional variational problem depending on indefinite integrals: Euler-Lagrange equation and numerical solution
The aim of this paper is to generalize the Euler-Lagrange equation obtained in Almeida et al. (2011), where fractional variational problems for Lagrangians, depending on fractional operators and depending on indefinite integrals, were studied. The new problem that we address here is for cost functionals, where the interval of integration is not the whole domain of the admissible functions, but ...
متن کاملDimensions of Anisotropic Indefinite Quadratic Forms Ii
Let F be a field of characteristic different from 2. The u-invariant and the Hasse number ũ of a field F are classical and important field invariants pertaining to quadratic forms. These invariants measure the suprema of dimensions of anisotropic forms over F that satisfy certain additional properties. We prove new relations between these invariants and we give a new characterization of fields ...
متن کاملevy-She er and IID-She er polynomials with applications to stochastic integrals
In [11] an unusual connection between orthogonal polynomials and martingales has been studied. There, all orthogonal She er polynomials, were linked to a unique L evy process, i.e., a continuous time stochastic process with stationary and independent increments. The connection between the polynomials and the L evy process is expressed by a martingale relation. As an application of these marting...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1965
ISSN: 0386-2194
DOI: 10.3792/pja/1195522296