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Title of Journal: Ukr Math J

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Abbravation: Ukrainian Mathematical Journal

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Springer US

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DOI

10.1002/9780470512517.refs

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1573-9376

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On the Estimation of Strong Means of Fourier Serie

Authors: N L Pachulia
Publish Date: 2015/12/01
Volume: 67, Issue: 6, Pages: 916-927
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Abstract

We study problem of λ φ strong summation of number series by the regular method λ with power summation of the function φ The accumulated results are extended to the case of Fourier expansions in trigonometric functions f ϵ L p p 1 where C is the set of 2πperiodic continuous functions Some results are also obtained for the estimation of strong means of the method λ in L p p 1 at the Lebesgue point x of the function f under certain additional conditions in the case where the function φ tends to infinity as u→ ∞ faster than the exponential function exp βu − 1 β 0

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  2. Localization of eigenvalues of polynomial matrices
  3. On the Sum of Narrow and Finite-Rank Orthogonally Additive Operators
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  5. Generalized Twisted Kloosterman Sum Over ℤ [ i ]
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  8. Construction of continuous cocycles for the bicrossed product of locally compact groups
  9. Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in L 0
  10. Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs
  11. On Γ-convergence of integral functionals defined on various weighted Sobolev spaces
  12. Normally solvable operator equations in a Banach space
  13. Generalizations of ⊕ -supplemented modules
  14. Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations
  15. On the Optimal Recovery of Integrals of Set-Valued Functions
  16. On the theory of $ \mathcal{P}\mathcal{T} $-symmetric operators
  17. 2-Simple ore domains of stable rank 1
  18. Averaging of Impulsive Differential Inclusions with Fuzzy Right-Hand Sides
  19. On some qualitative properties of monotone linear extensions of dynamical systems
  20. Homotopic types of right stabilizers and orbits of smooth functions on surfaces
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