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On Some Properties of Multiple Conjugate Trigonometric Series
-
D. Leladze
Veröffentlicht/Copyright:
18. Februar 2010
Abstract
We have obtained the estimate in the terms of partial and mixed moduli of continuity of deviation of Cesáro (C, ) means 
of the sequence of rectangular partial sums of n-multiple (n > 1) conjugate trigonometric series from n-multiple truncated conjugate function. This estimate implies the result on the 
-convergence (⋋ ≥ 1) of (C, ) means 
, provided that the essential conditions are imposed on the partial moduli of continuity. Finally, it is shown, that the -convergence cannot be replaced by ordinary convergence.
Received: 1993-02-25
Revised: 1993-05-13
Published Online: 2010-02-18
Published in Print: 1994-June
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- Two-Dimensional Problems of Stationary Flow of A Noncompressible Viscous Fluid in the Case of Ozeen's Linearization
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- On the Cardinality of A Semi-Algebraic Set
- On Some Properties of Multiple Conjugate Trigonometric Series
- On Some Two-Point Boundary Value Problems for Two-Dimensional Systems of Ordinary Differential Equations
- Limit Behavior of Solutions of Ordinary Linear Differential Equations
- Contact Problems for Two Anisotropic Half-Planes with Slits
Artikel in diesem Heft
- Some Open Problems About the Solutions of the Delay Difference Equation
- On Convergence Subsystems of Orthonormal Systems
- A Second-Order Nonlinear Problem with Two-Point and Integral Boundary Conditions
- Two-Dimensional Problems of Stationary Flow of A Noncompressible Viscous Fluid in the Case of Ozeen's Linearization
- Sturm's Theorem for Equations with Delayed Argument
- On the Cardinality of A Semi-Algebraic Set
- On Some Properties of Multiple Conjugate Trigonometric Series
- On Some Two-Point Boundary Value Problems for Two-Dimensional Systems of Ordinary Differential Equations
- Limit Behavior of Solutions of Ordinary Linear Differential Equations
- Contact Problems for Two Anisotropic Half-Planes with Slits
