Research Article
Year 2019,
Volume: 7 Issue: 2, 433 - 437, 15.10.2019
Abstract
In the present paper, a known theorem on absolute summability factors of infinite series has been generalized for $\left|A, p_{n}; \delta\right|_{k}$ summability by using matrix transformation.
Keywords
Absolute matrix summability Hölder inequality infinite series Minkowski inequality summability factors
References
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- [2] H. Bor, On $|\bar{N},p_{n}|_{k}$; pnjk summability factors, Proc. Amer. Math. Soc. Vol:94, No.3 (1985), 419-422.
- [3] H. Bor, Absolute summability factors of infinite series, Panamer. Math. J. Vol:2, No.2 (1992), 33-38.
- [4] H. Bor, On local property of $|\bar{N},p_{n};\delta|_{k}$ summability of factored Fourier series, J. Math. Anal. Appl. Vol:179, No.2 (1993), 646–649.
- [5] H. Bor, On absolute summability factors, Z. Anal. Anwendungen Vol:15, No.2 (1996), 545-549.
- [6] A. Karakas¸, On absolute matrix summability factors of infinite series, J. Class. Anal. Vol:13, No.2 (2018), 133-139.
- [7] H. S. Özarslan, A note on $|\bar{N},p_{n}|_{k}$; pn;djk summability factors, Indian J. Pure Appl. Math. Vol:33, No.3 (2002), 361-366.
- [8] H. S. Özarslan and H. N. Öğdük, Generalizations of two theorems on absolute summability methods, Aust. J. Math. Anal. Appl. Vol:1, No.2 (2004), 1-7.
- [9] H. S. Özarslan and E. Yavuz, A new note on absolute matrix summability, J. Inequal. Appl. Vol:474 (2013), 1-7.
- [10] H. S. Özarslan and E. Yavuz, New theorems for absolute matrix summability factors, Gen. Math. Notes Vol:23, No. 2 (2014), 63-70.
- [11] H. S. Özarslan, A new application of generalized almost increasing sequences, Bull. Math. Anal. Appl. Vol:8, No.2 (2016), 9-15.
- [12] H. S. Özarslan, A new study on generalized absolute matrix summability, Commun. Math. Appl. Vol:7, No.4 (2016), 303-309.
- [13] H. S. Özarslan, An application of d-quasi monotone sequence, Inter. J. Anal. Appl. Vol:14, No.2 (2017), 134-139.
- [14] H. S. O¨ zarslan and B. Kartal, A new theorem on boundedness and absolute summability, AIP Conf. Proc. Vol:2037, No.1 (2018), 1-5.
- [15] H. Seyhan, A note on absolute summability factors, Far East J. Math. Sci. Vol:6, No.1 (1998), 157-162.
- [16] H. Seyhan, Factors for absolute summability methods, PanAmer. Math. J. Vol:9, No.4 (1999), 23-27.
- [17] W. T. Sulaiman, Inclusion theorems for absolute matrix summability methods of an infinite series. IV, Indian J. Pure Appl. Math. Vol:34, No.11 (2003), 1547-1557.
Year 2019,
Volume: 7 Issue: 2, 433 - 437, 15.10.2019
Abstract
References
- [1] H. Bor, On $|\bar{N},p_{n}|_{k}$; pnjk summability factors of infinite series, Tamkang J. Math. Vol:16, No.1 (1985), 13-20.
- [2] H. Bor, On $|\bar{N},p_{n}|_{k}$; pnjk summability factors, Proc. Amer. Math. Soc. Vol:94, No.3 (1985), 419-422.
- [3] H. Bor, Absolute summability factors of infinite series, Panamer. Math. J. Vol:2, No.2 (1992), 33-38.
- [4] H. Bor, On local property of $|\bar{N},p_{n};\delta|_{k}$ summability of factored Fourier series, J. Math. Anal. Appl. Vol:179, No.2 (1993), 646–649.
- [5] H. Bor, On absolute summability factors, Z. Anal. Anwendungen Vol:15, No.2 (1996), 545-549.
- [6] A. Karakas¸, On absolute matrix summability factors of infinite series, J. Class. Anal. Vol:13, No.2 (2018), 133-139.
- [7] H. S. Özarslan, A note on $|\bar{N},p_{n}|_{k}$; pn;djk summability factors, Indian J. Pure Appl. Math. Vol:33, No.3 (2002), 361-366.
- [8] H. S. Özarslan and H. N. Öğdük, Generalizations of two theorems on absolute summability methods, Aust. J. Math. Anal. Appl. Vol:1, No.2 (2004), 1-7.
- [9] H. S. Özarslan and E. Yavuz, A new note on absolute matrix summability, J. Inequal. Appl. Vol:474 (2013), 1-7.
- [10] H. S. Özarslan and E. Yavuz, New theorems for absolute matrix summability factors, Gen. Math. Notes Vol:23, No. 2 (2014), 63-70.
- [11] H. S. Özarslan, A new application of generalized almost increasing sequences, Bull. Math. Anal. Appl. Vol:8, No.2 (2016), 9-15.
- [12] H. S. Özarslan, A new study on generalized absolute matrix summability, Commun. Math. Appl. Vol:7, No.4 (2016), 303-309.
- [13] H. S. Özarslan, An application of d-quasi monotone sequence, Inter. J. Anal. Appl. Vol:14, No.2 (2017), 134-139.
- [14] H. S. O¨ zarslan and B. Kartal, A new theorem on boundedness and absolute summability, AIP Conf. Proc. Vol:2037, No.1 (2018), 1-5.
- [15] H. Seyhan, A note on absolute summability factors, Far East J. Math. Sci. Vol:6, No.1 (1998), 157-162.
- [16] H. Seyhan, Factors for absolute summability methods, PanAmer. Math. J. Vol:9, No.4 (1999), 23-27.
- [17] W. T. Sulaiman, Inclusion theorems for absolute matrix summability methods of an infinite series. IV, Indian J. Pure Appl. Math. Vol:34, No.11 (2003), 1547-1557.
There are 17 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | October 15, 2019 |
| Submission Date | April 25, 2019 |
| Acceptance Date | August 21, 2019 |
| Published in Issue | Year 2019 Volume: 7 Issue: 2 |
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