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Some convergence theorems for Lebesgue integrals
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Lee Tuo-Yeong
Veröffentlicht/Copyright:
25. September 2009
Applying a generalised Dirichlet's test established for rectangular multiple series, we obtain several new convergence theorems for Lebesgue integrals.
Keywords: Dirichlet's test; convergence theorems
Received: 2007-June-01
Revised: 2007-July-05
Published Online: 2009-09-25
Published in Print: 2008-02
© Oldenbourg Wissenschaftsverlag
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Artikel in diesem Heft
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- On the value distribution of two differential monomials
- The completely indeterminate Caratheodory matrix problem in the Rq[a, b] class
- Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function
- On representations of Stokes flows and of the solutions of Navier's equation for linear elasticity
- Asymptotic analysis of generalized Hermite polynomials
- Some convergence theorems for Lebesgue integrals
- The zeros of certain differential polynomials
Artikel in diesem Heft
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- On the value distribution of two differential monomials
- The completely indeterminate Caratheodory matrix problem in the Rq[a, b] class
- Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function
- On representations of Stokes flows and of the solutions of Navier's equation for linear elasticity
- Asymptotic analysis of generalized Hermite polynomials
- Some convergence theorems for Lebesgue integrals
- The zeros of certain differential polynomials
