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On an Extension of Absolute Summability

Year 2019, Volume: 7 Issue: 2, 433 - 437, 15.10.2019
https://izlik.org/JA85JP73ZL

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.

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.

Year 2019, Volume: 7 Issue: 2, 433 - 437, 15.10.2019
https://izlik.org/JA85JP73ZL

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 Research Article
Authors

Bağdagül Kartal 0000-0001-6223-0838

Submission Date April 25, 2019
Acceptance Date August 21, 2019
Publication Date October 15, 2019
IZ https://izlik.org/JA85JP73ZL
Published in Issue Year 2019 Volume: 7 Issue: 2

Cite

APA Kartal, B. (2019). On an Extension of Absolute Summability. Konuralp Journal of Mathematics, 7(2), 433-437. https://izlik.org/JA85JP73ZL
AMA 1.Kartal B. On an Extension of Absolute Summability. Konuralp J. Math. 2019;7(2):433-437. https://izlik.org/JA85JP73ZL
Chicago Kartal, Bağdagül. 2019. “On an Extension of Absolute Summability”. Konuralp Journal of Mathematics 7 (2): 433-37. https://izlik.org/JA85JP73ZL.
EndNote Kartal B (October 1, 2019) On an Extension of Absolute Summability. Konuralp Journal of Mathematics 7 2 433–437.
IEEE [1]B. Kartal, “On an Extension of Absolute Summability”, Konuralp J. Math., vol. 7, no. 2, pp. 433–437, Oct. 2019, [Online]. Available: https://izlik.org/JA85JP73ZL
ISNAD Kartal, Bağdagül. “On an Extension of Absolute Summability”. Konuralp Journal of Mathematics 7/2 (October 1, 2019): 433-437. https://izlik.org/JA85JP73ZL.
JAMA 1.Kartal B. On an Extension of Absolute Summability. Konuralp J. Math. 2019;7:433–437.
MLA Kartal, Bağdagül. “On an Extension of Absolute Summability”. Konuralp Journal of Mathematics, vol. 7, no. 2, Oct. 2019, pp. 433-7, https://izlik.org/JA85JP73ZL.
Vancouver 1.Bağdagül Kartal. On an Extension of Absolute Summability. Konuralp J. Math. [Internet]. 2019 Oct. 1;7(2):433-7. Available from: https://izlik.org/JA85JP73ZL
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