Academic Journal
Regular Integral Transformations on Time Scales and Generalized Statistical Convergence
| العنوان: | Regular Integral Transformations on Time Scales and Generalized Statistical Convergence |
|---|---|
| المؤلفون: | Yalçın, Ceylan Turan, Duman, Oktay |
| بيانات النشر: | Univ Nis, Fac Sci Math |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | Statistical convergence, regular summability methods, Ces?ro summability, delta measure on time scales, time scales, integral transformation, Dynamic Equations, Periodic-Solutions, Summability |
| الوصف: | In this work, using regular integral transformations on time scales, we generalize the concept of statistical convergence. This enables us not only to unify discrete and continuous cases known in the literature but also to derive new convergence methods with choices of appropriate transformations and time scales. This is a continuation of our earlier work and includes many new methods. We obtain sufficient conditions for regularity of kernel functions on time scales and also we prove a characterization theorem for the generalized statistical convergence. At the end of the paper we display some applications and special cases of our results. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | Filomat; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://doi.org/10.2298/FIL2312017Y; https://hdl.handle.net/20.500.11851/10342; 37; 12; 4017; 4028; WOS:000945907400001; Q3 |
| DOI: | 10.2298/FIL2312017Y |
| الاتاحة: | https://hdl.handle.net/20.500.11851/10342 https://doi.org/10.2298/FIL2312017Y |
| Rights: | none |
| رقم الانضمام: | edsbas.9E52F16 |
| قاعدة البيانات: | BASE |
| DOI: | 10.2298/FIL2312017Y |
|---|