Recent Developments on Summability Theory and Its Applications
1Firat University, Elaziğ, Turkey
2Aligarh Muslim University, Aligarh, India
3King Abdulaziz University, Jeddah, Saudi Arabia
4Ohio University, Athens, USA
5Fatih Universitesi, Istanbul, Turkey
Recent Developments on Summability Theory and Its Applications
Description
The significance of the concept of summability has been strikingly demonstrated in various contexts, for example, in analytic continuation, quantum mechanics, probability theory, Fourier analysis, approximation theory, and fixed point theory. The methods of almost summability and statistical summability have become an active area of research in the recent years. The aim of this special issue is to focus on recent developments and achievements in summability theory such as sequences spaces and their geometry, statistical summability and statistical approximation, almost summability, fuzzy sequence spaces, matrix summability, compact matrix operators between sequence spaces and infinite systems of differential and integral equations in sequence spaces, and various applications.
We invite authors to submit original research and review articles describing the new methods and insights with some applications on the topics which are directly or indirectly related to the summability, function spaces, sequence spaces, operator theory, statistical summability, and approximation theory and applications.
Potential topics include, but are not limited to:
- Statistical summability and statistical approximation
- Matrix domains of classical sequence spaces
- Dual summability methods
- Analytic continuation
- Topological and geometric properties of sequence spaces
- Sequence spaces over the non-Newtonian complex field
- Fuzzy sequences spaces
- Summability methods for q-operators
- Difference sequence spaces and their applications
- Infinite systems of differential and integrodifferential equations on sequence spaces and function spaces