Symmetric convergence of double series whose coefficients are the quotients of divisions of complex Fourier coefficients by their indexes
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Omar Dzagnidze
Abstract
The symmetric and uniform convergence of the series
on
of a function f which is summable on
Funding source: Shota Rustaveli National Science Foundation
Award Identifier / Grant number: FR/223/5-100/13
Funding statement: This research was supported by Shota Rustaveli National Science Foundation Grant No. FR/223/5-100/13.
References
[1] C.-J. de la Vallée Poissin, Course d’Analyse Infinitésimale. II, GTTI, Leningrad, 1933. Search in Google Scholar
[2] O. Dzagnidze, On the behaviour of series, obtained by termwise integration of double trigonometric series, Proc. A. Razmadze Math. Inst. 166 (2014), 31–48. Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Existence of solutions for Riemann–Liouville multi-valued fractional boundary value problems
- On certain subclasses of meromorphic univalent functions associated with a differential operator
- The normality criteria for families of entire algebroid functions
- Symmetric convergence of double series whose coefficients are the quotients of divisions of complex Fourier coefficients by their indexes
- On non-optimal spectral factorizations
- Hardy-type integral inequalities for quasi-monotone functions
- Certain results concerning operators on a Lie algebra and double index sequences
- The stability of some generalizations of the quadratic and Wilson’s functional equations
- Positive solutions of nonlinear fractional differential equations in non-zero self-distance spaces
- Dynamic contact problem with thermal effect
- Screen conformal lightlike hypersurfaces of an indefinite cosymplectic manifold
- Closed range weighted composition operators on weighted Bergman spaces
- Two-weighted norm inequalities of singular integral operators on weighted Morrey spaces
Articles in the same Issue
- Frontmatter
- Existence of solutions for Riemann–Liouville multi-valued fractional boundary value problems
- On certain subclasses of meromorphic univalent functions associated with a differential operator
- The normality criteria for families of entire algebroid functions
- Symmetric convergence of double series whose coefficients are the quotients of divisions of complex Fourier coefficients by their indexes
- On non-optimal spectral factorizations
- Hardy-type integral inequalities for quasi-monotone functions
- Certain results concerning operators on a Lie algebra and double index sequences
- The stability of some generalizations of the quadratic and Wilson’s functional equations
- Positive solutions of nonlinear fractional differential equations in non-zero self-distance spaces
- Dynamic contact problem with thermal effect
- Screen conformal lightlike hypersurfaces of an indefinite cosymplectic manifold
- Closed range weighted composition operators on weighted Bergman spaces
- Two-weighted norm inequalities of singular integral operators on weighted Morrey spaces
