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Lacunary (R, p, M)-summability
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Tatevik L. Gharibyan
Published/Copyright:
September 25, 2009
In this article summability methods of weighted mean type are considered which are generated by a lacunary sequence of positive minimal density. The interdependencies between the topological structure of the summability domain for the geometric sequence (and as its consequences for general power series) are discussed. In addition some results on universal approximation are proved.
Received: 2006-11-14
Published Online: 2009-9-25
Published in Print: 2007-10-1
© Oldenbourg Wissenschaftsverlag
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- A general cross theorem with singularities
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- Generalized Fourier expansion in kernels of convolution operators on Fourier hyperfunctions
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- Universal (pluri)subharmonic functions
- Uniform approximation on the real axes by functions harmonic in a stripe and having optimal growth
- Univalence of a complex linear combination of two extremal parallel slit mappings
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Keywords for this article
Weighted mean methods;
analytic continuation;
universal approximation;
density properties
Articles in the same Issue
- In memoriam Gerald Schmieder
- A general cross theorem with singularities
- Bounded pointwise approximation on open Riemann surfaces
- Generalized Fourier expansion in kernels of convolution operators on Fourier hyperfunctions
- Stein's extension operator for sets with Lipγ-boundary
- On some representation formulas involving moduli of Blaschke products
- Universal (pluri)subharmonic functions
- Uniform approximation on the real axes by functions harmonic in a stripe and having optimal growth
- Univalence of a complex linear combination of two extremal parallel slit mappings
- Lacunary (R, p, M)-summability
- MacLane functions with prescribed zeros and interpolation properties
- Reasoning and proof in the mathematics classroom
