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Some new type sigma convergent sequence spaces and some new inequalities
Kuddusi Kayaduman1, Mehmet Şengönül2
1Department of Mathematics, Faculty of Arts and Sciences, G. Antep University, 27310 Şehitkamil-Gaziantep, Turkey.
Thescientificworldjournal
|April 8, 2014
Summary
This study explores Cesàro sigma convergent and Cesàro null sequences, specifically within the Vσ and V0σ spaces. Key problems related to these sequence spaces are analyzed.
Area of Science:
- Mathematics
- Sequence Spaces
- Functional Analysis
Background:
- Cesàro convergence is a fundamental concept in sequence space theory.
- Understanding properties of specific sequence spaces like Vσ and V0σ is crucial for advanced analysis.
Purpose of the Study:
- To investigate and discuss significant problems concerning the Vσ and V0σ sequence spaces.
- To analyze the characteristics of Cesàro sigma convergent and Cesàro null sequences within these defined spaces.
Main Methods:
- Theoretical analysis of sequence space properties.
- Application of Cesàro summation methods to sequence convergence.
Main Results:
- Identification and discussion of key challenges within Vσ and V0σ spaces.
- Characterization of Cesàro sigma convergent and Cesàro null sequences in relation to these spaces.
Conclusions:
- The study provides insights into the structure and behavior of Vσ and V0σ sequence spaces.
- Further understanding of Cesàro convergent and null sequences is established.
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