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Title of Journal: Acta Math Hungar

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Abbravation: Acta Mathematica Hungarica

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Springer Netherlands

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DOI

10.1002/sce.37303405136

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1588-2632

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On complete convergence in mean for double sums of

Authors: L V Thanh N T Thuy
Publish Date: 2016/10/24
Volume: 150, Issue: 2, Pages: 456-471
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Abstract

Conditions are provided under which a normed double sum of independent random elements in a real separable Rademacher type p Banach space converges completely to 0 in mean of order p These conditions for the complete convergence in mean of order p are shown to provide an exact characterization of Rademacher type p Banach spaces In case the Banach space is not of Rademacher type p it is proved that the complete convergence in mean of order p of a normed double sum implies a strong law of large numbers

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  1. Weightable quasi-uniformities
  2. Rings of quotients of some infinite dimensional path algebras
  3. The Baum–Katz theorem for dependent sequences
  4. A note on the generalized rank reduction
  5. Existence and optimality of w -non-adjacent forms with an algebraic integer base
  6. Veldsman’s classes of associative rings
  7. Atomic decompositions of martingale hardy–morrey spaces
  8. A characterization of polyharmonic functions
  9. A note on invariant sets of iterated function systems
  10. On complete convergence and the strong law of large numbers for pairwise independent random variables
  11. Polynomial approximation with an exponential weight on the real semiaxis
  12. Best L 1 Approximation of Truncated Functions, Whitney-Type and Borh–Favard-Type Inequalities
  13. On the latticity of projection and antiprojection sets in Orlicz-Musielak spaces
  14. A categorical approach to absolute closure
  15. Planar zero divisor graphs of partially ordered sets
  16. On a problem in additive number theory
  17. On powers of relational and algebraic systems
  18. Inequalities for entire functions of exponential type satisfying $$ f(z) \equiv e^{i\gamma } e^{i\tau z} \overline {f(\bar z)} $$
  19. Local stability of a generalized Cauchy equation in Banach spaces
  20. A note on W - I -continuous functions
  21. A Remark on The Geometry of Spaces of Functions with Prime Frequencies
  22. Hua’s theorem with nine almost equal prime variables
  23. A weak type inequality for the maximal operator of ( C, α )-means of Fourier series with respect to the Walsh-Kaczmarz system
  24. Unification of generalized open sets on topological spaces
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