Some Applications of Summability Theory
DOI10.1007/978-981-10-0913-6_8zbMath1359.40001OpenAlexW2476095325MaRDI QIDQ2826021
Publication date: 14 October 2016
Published in: Current Topics in Summability Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-10-0913-6_8
modular functionssequence spacesOrlicz functionstatistical convergenceTauberian theoremsuniform Opial propertyKadec-Klee propertysummability methods\(\lambda\)-statistical convergence\((\beta)\)-propertyBanach-Saks property of type \(p\)\lambda)\)kNUC-propertyOpial-propertyRotund propertystatistical summability \((v
Convergence and divergence of series and sequences (40A05) Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45) Tauberian theorems (40E05) Ideal and statistical convergence (40A35) Research exposition (monographs, survey articles) pertaining to sequences, series, summability (40-02)
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Cites Work
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- Extended Tauberian theorem for the weighted mean method of summability
- On Tauberian theorems for \((A)(C,\alpha)\) summability method
- Weighted statistical convergence and its application to Korovkin type approximation theorem
- Statistical summability and approximation by de la Vallée-Poussin mean
- On infinite matrices and lacunary \(\sigma \)-convergence
- On a new class of sequences related to the \(\ell_p\) space defined by Orlicz function
- Geometric properties of the second-order Cesàro spaces
- Generalization of the sequence space \(\ell (p)\) derived by weighted mean
- On \(\Lambda\)-strong convergence of numerical sequences and Fourier series
- Korovkin type approximation theorems obtained through generalized statistical convergence
- Approximation with Jacobi weights by Baskakov operators
- Geometry of Banach spaces. Selected topics
- On the uniform Opial property in some modular sequence spaces
- On certain families of generalized Nörlund methods and power series methods
- Matrix transformations between the sequence spaces of Maddox
- General Nörlund transforms and power series methods
- Lacunary statistical convergence
- Sequence spaces defined by Orlicz functions
- Strongly summable sequence spaces defined by a modulus
- Matrix transformations between sequence spaces of generalized weighted means.
- On \(k\)-nearly uniform convex property in generalized Cesàro sequence spaces
- Statistical lacunary summability and a Korovkin type approximation theorem
- Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability
- Lacunary strong \(A\)-convergence with respect to a sequence of modulus functions
- Densities and summability
- Tauberian conditions, under which statistical convergence follows from statistical summability \((C,1)\)
- Strongly \((V_{\sigma},\lambda,q)\)-summable sequences defined by Orlicz functions
- The sequence space \(E_{n}^{q}\left( M,p,s\right) \) and \(N_{k}\)-lacunary statistical convergence
- On \(\Lambda^2\)-strong convergence of numerical sequences and Fourier series
- A theorem for the \((J,p)\) summability method
- On matrix domains of triangles
- On lacunary strong \((A,u,\Delta)\)-convergent sequences with respect to a sequence of modulus functions
- Some paranormed sequence spaces of non-absolute type derived by weighted mean
- On the \((C,1)\) summability method of improper integrals
- On Orlicz sequence spaces
- Tauberian conditions under which $\lambda-$statistical convergence follows from statistical summability $(V,\lambda)$
- Tauberian conditions under which statistical convergence follows from statistical summability by weighted means
- On Products of Sequences
- Some Sequence Spaces Related to the l p Spaces
- On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
- ON STATISTICAL CONVERGENCE
- Inclusions between FK spaces and Kuttner's theorem
- Sequence spaces defined by a modulus
- THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
- Some Cesàro-Type Summability Spaces
- Tauberian- and Convexity Theorems for Certain (N,p,q)-Means
- SOME SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
- The Sequence Spaces l (pv ) and m (pv )
- Über die verallgemeinerte de la Vallée-Poussinsche summierbarkeit allgemeiner Orthogonalreihen
- SPACES OF STRONGLY SUMMABLE SEQUENCES
- FK Spaces in Which the Sequence of Coordinate Vectors is Bounded
- Modulared sequence spaces
- Sur la convergence statistique
- Some new sequence spaces defined by a sequence of Orlicz functions
- On some sequence spaces
- \(\Delta^m\)-statistical convergence