Research Article
Year 2017,
Volume: 17 Issue: 2, 494 - 499, 31.08.2017
Abstract
Bu çalışmada, serilerin üst yakınsaklığı ile bu serilerin kısmi toplamlar dizisinin toplanabilir bir
uzanımının varlığı arasında bağlantı kuran bir genel toplanabilme matrisi tanıtıldı. Bu matrislerin bazı
özellikleri ve Riesz Matrislerinin hangi koşullar altında bu matris sınıfına girdiği incelendi.
Keywords
References
- Cooke, R. G., 1950. Infinite Matrices and Sequence Spaces. Macmillan and Co., Limited St. Martin's Street, London.
- Drobot, V., 1970. Overconvergence and (C,1) summability, Proceeding of the American Mathematical Society, 25(1), 13-15.
- Drobot, V., 1975. On the Dilution of Series, Annales Polonici Mathematici, 30(3), 323-331.
- Gharibyan, T. L. and Luh, W., 2011. Summability of Elongated sequences, Computational Methods and Function Theory, 11(1), 59-70.
- Luh, W., and Nieß, M. (2013). Elongating the partial sums of Faber series. Journal of Mathematical Analysis and Applications, 398(1), 123-127.
- Petersen, G. M., 1966. Regular Matrix Transformations. McGraw-Hill Pub. Comp. Ltd., England.
- Peyerimhoff, A., 1969. Lectures on Summability. Springer–Verlag, New York.
- Porter, M.B., 1906-1907. On the polynomial convergent of power series, Annals of Mathematics,8, 189-192.
- Tunc, T. and Kucukaslan, A., 2014. On A Relation Between Overconvergence and Summability of Power Series, Advances in Mathematics, 1, 15- 22.
Year 2017,
Volume: 17 Issue: 2, 494 - 499, 31.08.2017
Abstract
References
- Cooke, R. G., 1950. Infinite Matrices and Sequence Spaces. Macmillan and Co., Limited St. Martin's Street, London.
- Drobot, V., 1970. Overconvergence and (C,1) summability, Proceeding of the American Mathematical Society, 25(1), 13-15.
- Drobot, V., 1975. On the Dilution of Series, Annales Polonici Mathematici, 30(3), 323-331.
- Gharibyan, T. L. and Luh, W., 2011. Summability of Elongated sequences, Computational Methods and Function Theory, 11(1), 59-70.
- Luh, W., and Nieß, M. (2013). Elongating the partial sums of Faber series. Journal of Mathematical Analysis and Applications, 398(1), 123-127.
- Petersen, G. M., 1966. Regular Matrix Transformations. McGraw-Hill Pub. Comp. Ltd., England.
- Peyerimhoff, A., 1969. Lectures on Summability. Springer–Verlag, New York.
- Porter, M.B., 1906-1907. On the polynomial convergent of power series, Annals of Mathematics,8, 189-192.
- Tunc, T. and Kucukaslan, A., 2014. On A Relation Between Overconvergence and Summability of Power Series, Advances in Mathematics, 1, 15- 22.
There are 9 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | August 31, 2017 |
| Submission Date | December 22, 2016 |
| Published in Issue | Year 2017 Volume: 17 Issue: 2 |