On some properties of summability methods with variable order
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Shakro Tetunashvili
Abstract
Methods of summability with variable order are considered. A connection of series convergence with series summability is established. A non-strengthening in a certain sense of some results is proved.
Funding source: Shota Rustaveli National Science Foundation
Award Identifier / Grant number: D-13/23
Award Identifier / Grant number: 31/47
Funding statement: This work was supported by the Shota Rustaveli National Science Foundation through grants D-13/23 and 31/47.
References
[1] G. Fikhtengolts, A Course of Differential and Integral Calculus II, (in Russian), Nauka, Moscow, 1966. Search in Google Scholar
[2] I. B. Kaplan, Cesàro means of variable order (in Russian), Izv. Vyssh. Uchebn. Zaved. Mat. 5 (1960), no. 18, 62–73. Search in Google Scholar
© 2017 Walter de Gruyter GmbH, Berlin/Boston
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- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems
Articles in the same Issue
- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems
