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On Some Convexity Properties of Generalized Cesáro Sequence Spaces
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Suthep Suantai
Published/Copyright:
February 26, 2010
Abstract
We define a generalized Cesáro sequence space and consider it equipped with the Luxemburg norm under which it is a Banach space, and we show that it is locally uniformly rotund.
Key words and phrases:: Generalized Cesáro sequence spaces; Luxemburg norm; extreme point; locally uniformly rotund point; property (H); convex modular
Received: 2001-11-20
Revised: 2002-05-27
Published Online: 2010-02-26
Published in Print: 2003-March
© Heldermann Verlag
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Keywords for this article
Generalized Cesáro sequence spaces;
Luxemburg norm;
extreme point;
locally uniformly rotund point;
property (H);
convex modular
Articles in the same Issue
- On One Theorem of S. Warschawski
- Investigation of Two-Dimensional Models of Elastic Prismatic Shell
- Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces
- Operational Identities for Circular and Hyperbolic Functions and Their Generalizations
- Bi-Hamiltonian Structure as a Shadow of Non-Noether Symmetry
- On the Oscillation of Solutions of First Order Differential Equations with Retarded Arguments
- Combinatorial Homology in a Perspective of Image Analysis
- Internal Crossed Modules
- Cochain Operations Defining Steenrod ⌣𝑖-Products in the Bar Construction
- On Maximal 𝑜𝑡-Subsets of the Euclidean Plane
- Inversion of the Cauchy Integral Taken over the Double Periodic Line
- Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
- Local Growth of Weierstrass σ-Function and Whittaker-Type Derivative Sampling
- Sturm–Liouville and Focal Higher Order BVPs with Singularities in Phase Variables
- On Some Convexity Properties of Generalized Cesáro Sequence Spaces
