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On an Extension of Absolute Summability

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.

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

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

Bağdagül Kartal 0000-0001-6223-0838

Publication Date October 15, 2019
Submission Date April 25, 2019
Acceptance Date August 21, 2019
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.
AMA Kartal B. On an Extension of Absolute Summability. Konuralp J. Math. October 2019;7(2):433-437.
Chicago Kartal, Bağdagül. “On an Extension of Absolute Summability”. Konuralp Journal of Mathematics 7, no. 2 (October 2019): 433-37.
EndNote Kartal B (October 1, 2019) On an Extension of Absolute Summability. Konuralp Journal of Mathematics 7 2 433–437.
IEEE B. Kartal, “On an Extension of Absolute Summability”, Konuralp J. Math., vol. 7, no. 2, pp. 433–437, 2019.
ISNAD Kartal, Bağdagül. “On an Extension of Absolute Summability”. Konuralp Journal of Mathematics 7/2 (October 2019), 433-437.
JAMA 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, 2019, pp. 433-7.
Vancouver Kartal B. On an Extension of Absolute Summability. Konuralp J. Math. 2019;7(2):433-7.
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